A008000 -id:A008000 - cp's OEIS frontend

A008036 Coordination sequence T1 for Zeolite Code AST.

1, 4, 9, 19, 34, 48, 66, 96, 127, 151, 183, 232, 281, 316, 357, 427, 499, 540, 588, 684, 778, 823, 879, 1000, 1118, 1168, 1227, 1375, 1522, 1572, 1632, 1812, 1987, 2035, 2097, 2308, 2513, 2560, 2619, 2863, 3103, 3144, 3198, 3480, 3754, 3787, 3837, 4156

Offset: 0

Ralf W. Grosse-Kunstleve

nonn

W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996

R. W. Grosse-Kunstleve, Table of n, a(n) for n = 0..1000
R. W. Grosse-Kunstleve, Coordination Sequences and Encyclopedia of Integer Sequences
R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites, Acta Cryst., A52 (1996), pp. 879-889.
Sean A. Irvine, Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane
International Zeolite Association, Database of Zeolite Structures

G.f.: (1+x) * (1+x+4*x^2+6*x^3+6*x^4+9*x^5+6*x^6+6*x^7+4*x^8+x^9+x^10) / ((1-x)^3 * (1+x^2)^3 * (1+x+x^2)). - Colin Barker, Dec 18 2015

A008037 Coordination sequence T2 for Zeolite Code AST.

Original entry on oeis.org

1, 4, 12, 18, 28, 52, 78, 88, 112, 162, 204, 220, 254, 328, 396, 414, 448, 556, 654, 664, 700, 846, 972, 976, 1010, 1192, 1356, 1350, 1372, 1600, 1806, 1780, 1792, 2070, 2316, 2272, 2270, 2596, 2892, 2826, 2800, 3184, 3534, 3436, 3388, 3834, 4236, 4108, 4034

Offset: 0

Ralf W. Grosse-Kunstleve

nonn

W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996

R. W. Grosse-Kunstleve, Table of n, a(n) for n = 0..1000
R. W. Grosse-Kunstleve, Coordination Sequences and Encyclopedia of Integer Sequences
R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites, Acta Cryst., A52 (1996), pp. 879-889.
Sean A. Irvine, Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane
International Zeolite Association, Database of Zeolite Structures

G.f.: (1 + 3*x + 10*x^2 + 11*x^3 + 23*x^4 + 26*x^5 + 32*x^6 + 26*x^7 + 23*x^8 + 11*x^9 + 10*x^10 + 3*x^11 + x^12) / ((1-x)^3 * (1+x) * (1+x^2)^3 * (1+x+x^2)). - Colin Barker, Dec 20 2015

A008038 Coordination sequence T1 for Zeolite Code ATS.

Original entry on oeis.org

1, 4, 10, 19, 30, 46, 67, 93, 124, 154, 189, 232, 277, 325, 374, 428, 490, 557, 625, 690, 763, 844, 930, 1021, 1105, 1194, 1294, 1399, 1510, 1616, 1724, 1840, 1964, 2095, 2220, 2350, 2485, 2625, 2776, 2920, 3069, 3226, 3385, 3553, 3716, 3884, 4060, 4241

Offset: 0

Ralf W. Grosse-Kunstleve

nonn

W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996

R. W. Grosse-Kunstleve, Table of n, a(n) for n = 0..1000
R. W. Grosse-Kunstleve, Coordination Sequences and Encyclopedia of Integer Sequences
R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites, Acta Cryst., A52 (1996), pp. 879-889.
Sean A. Irvine, Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane
International Zeolite Association, Database of Zeolite Structures

G.f.: (1 +x)^2 * (1 + x + 4*x^2 + 3*x^3 + 8*x^4 + 7*x^5 + 10*x^6 + 10*x^7 + 9*x^8 + 8*x^9 + 7*x^10 + 4*x^11 + x^12 + x^13 - 2*x^15) / ((1 - x)^3 * (1 - x + x^2) * (1 + x + x^2) * (1 + x + x^2 + x^3 + x^4)^2). - Colin Barker, Dec 18 2015

A008039 Coordination sequence T2 for Zeolite Code ATS.

Original entry on oeis.org

1, 4, 10, 20, 32, 49, 73, 97, 124, 157, 193, 236, 281, 325, 376, 434, 496, 559, 623, 692, 769, 853, 934, 1015, 1105, 1201, 1304, 1406, 1504, 1612, 1730, 1852, 1972, 2090, 2216, 2353, 2497, 2635, 2770, 2917, 3073, 3236, 3395, 3547, 3712, 3890, 4072, 4249

Offset: 0

Ralf W. Grosse-Kunstleve

nonn

W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996

R. W. Grosse-Kunstleve, Table of n, a(n) for n = 0..1000
R. W. Grosse-Kunstleve, Coordination Sequences and Encyclopedia of Integer Sequences
R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites, Acta Cryst., A52 (1996), pp. 879-889.
Sean A. Irvine, Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane
International Zeolite Association, Database of Zeolite Structures

G.f.: (1+x)^3 * (1+x+4*x^2+3*x^3+6*x^4+6*x^5+6*x^6+3*x^7+4*x^8+x^9+x^10) / ((1-x)^3 * (1+x+x^2) * (1+x+x^2+x^3+x^4)^2). - Colin Barker, Dec 20 2015

A008041 Coordination sequence T1 for Zeolite Code ATT.

Original entry on oeis.org

1, 4, 9, 18, 33, 52, 73, 96, 123, 158, 199, 239, 280, 329, 383, 438, 498, 564, 633, 704, 778, 857, 941, 1029, 1122, 1219, 1316, 1415, 1522, 1636, 1753, 1871, 1990, 2115, 2248, 2383, 2519, 2661, 2808, 2957, 3110, 3268, 3429, 3593, 3762, 3937, 4115, 4293

Offset: 0

Ralf W. Grosse-Kunstleve

nonn

W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996

R. W. Grosse-Kunstleve, Table of n, a(n) for n = 0..1000
R. W. Grosse-Kunstleve, Coordination Sequences and Encyclopedia of Integer Sequences
R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites, Acta Cryst., A52 (1996), pp. 879-889.
Sean A. Irvine, Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane
International Zeolite Association, Database of Zeolite Structures

G.f.: (1 + x) * (1 + 2*x + 5*x^2 + 10*x^3 + 17*x^4 + 25*x^5 + 34*x^6 + 40*x^7 + 46*x^8 + 48*x^9 + 46*x^10 + 40*x^11 + 34*x^12 + 25*x^13 + 17*x^14 + 10*x^15 + 5*x^16 + 2*x^17 + x^18) / ((1 - x)^3 * (1 - x + x^2) * (1 + x^2) * (1 + x + x^2) * (1 + x + x^2 + x^3 + x^4) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 18 2015

A008042 Coordination sequence T2 for Zeolite Code ATT.

Original entry on oeis.org

1, 4, 10, 21, 34, 48, 70, 100, 130, 159, 194, 236, 282, 332, 384, 439, 500, 564, 630, 702, 780, 861, 944, 1030, 1120, 1214, 1314, 1421, 1530, 1636, 1746, 1868, 1994, 2119, 2248, 2382, 2520, 2662, 2808, 2957, 3110, 3268, 3430, 3596, 3764, 3935, 4112, 4294

Offset: 0

Ralf W. Grosse-Kunstleve

nonn

W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996

R. W. Grosse-Kunstleve, Table of n, a(n) for n = 0..1000
R. W. Grosse-Kunstleve, Coordination Sequences and Encyclopedia of Integer Sequences
R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites, Acta Cryst., A52 (1996), pp. 879-889.
Sean A. Irvine, Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane
International Zeolite Association, Database of Zeolite Structures

G.f.: (1 + x) * (1 + x + 4*x^2 + 4*x^3 + 4*x^4 + 4*x^5 + 4*x^6 + x^7 + x^8) * (1 + x + x^2 + 2*x^3 + 2*x^4 + 3*x^5 + 2*x^6 + 2*x^7 + x^8 + x^9 + x^10) / ((1-x)^3 * (1 - x + x^2) * (1 + x^2) * (1 + x + x^2) * (1 + x + x^2 + x^3 + x^4) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 20 2015

A008043 Coordination sequence T1 for Zeolite Code ATV.

Original entry on oeis.org

1, 4, 11, 22, 40, 64, 92, 121, 157, 200, 248, 297, 351, 414, 484, 555, 630, 709, 795, 885, 980, 1081, 1187, 1297, 1414, 1535, 1660, 1786, 1919, 2061, 2208, 2356, 2509, 2669, 2836, 3004, 3176, 3354, 3539, 3728, 3922, 4120, 4323, 4530, 4744, 4964, 5188, 5413

Offset: 0

Ralf W. Grosse-Kunstleve

W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996

R. W. Grosse-Kunstleve, Table of n, a(n) for n = 0..1000
R. W. Grosse-Kunstleve, Coordination Sequences and Encyclopedia of Integer Sequences
R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites, Acta Cryst., A52 (1996), pp. 879-889.
Sean A. Irvine, Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane
International Zeolite Association, Database of Zeolite Structures

a(40*m+k) = 3920*m^2 + 196*k*m + one of 40 numbers depending on k, 0<=k<40 (N. J. A. Sloane).
G.f.: (1 + 2*x + 5*x^2 + 6*x^3 + 12*x^4 + 12*x^5 + 16*x^6 + 13*x^7 + 22*x^8 + 18*x^9 + 22*x^10 + 13*x^11 + 16*x^12 + 12*x^13 + 12*x^14 + 6*x^15 + 5*x^16 + 2*x^17 + x^18) / ((1-x)^3 * (1+x) * (1+x^2) * (1 - x + x^2 - x^3 + x^4) * (1+x^4) * (1 + x + x^2 + x^3 + x^4)). - Colin Barker, Dec 18 2015
G.f.: (1 + 3*x + 7*x^2 + 11*x^3 + 18*x^4 + 24*x^5 + 28*x^6 + 29*x^7 + 35*x^8 + 40*x^9 + 40*x^10 + 35*x^11 + 29*x^12 + 28*x^13 + 24*x^14 + 18*x^15 + 11*x^16 + 7*x^17 + 3*x^18 + x^19) / (1-x) / (1-x^8) / (1-x^10). - Sean A. Irvine, Mar 13 2018

A008044 Coordination sequence T2 for Zeolite Code ATV.

Original entry on oeis.org

1, 4, 12, 25, 42, 61, 88, 122, 160, 200, 246, 299, 358, 417, 480, 550, 628, 710, 796, 887, 984, 1083, 1188, 1298, 1412, 1530, 1656, 1789, 1926, 2063, 2206, 2356, 2512, 2670, 2832, 3001, 3178, 3357, 3540, 3728, 3922, 4120, 4324, 4533, 4746, 4961, 5184, 5414

Offset: 0

Ralf W. Grosse-Kunstleve

W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996

R. W. Grosse-Kunstleve, Table of n, a(n) for n = 0..1000
R. W. Grosse-Kunstleve, Coordination Sequences and Encyclopedia of Integer Sequences
R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites, Acta Cryst., A52 (1996), pp. 879-889.
Sean A. Irvine, Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane
International Zeolite Association, Database of Zeolite Structures

a(40*m+k) = 3920*m^2 + 196*k*m + one of 40 numbers depending on k, 0<=k<40. - N. J. A. Sloane
G.f.: (1 + 2*x + 6*x^2 + 7*x^3 + 10*x^4 + 9*x^5 + 18*x^6 + 16*x^7 + 21*x^8 + 16*x^9 + 21*x^10 + 16*x^11 + 18*x^12 + 9*x^13 + 10*x^14 + 7*x^15 + 6*x^16 + 2*x^17 + x^18) / ((1-x)^3 * (1+x) * (1+x^2) * (1 - x + x^2 - x^3 + x^4) * (1 + x^4) * (1 + x + x^2 + x^3 + x^4)). - Colin Barker, Dec 20 2015
G.f.: (1 + 3*x + 8*x^2 + 13*x^3 + 17*x^4 + 19*x^5 + 27*x^6 + 34*x^7 + 37*x^8 + 37*x^9 + 37*x^10 + 37*x^11 + 34*x^12 + 27*x^13 + 19*x^14 + 17*x^15 + 13*x^16 + 8*x^17 + 3*x^18 + x^19) / (1-x) / (1-x^8) / (1-x^10). - Sean A. Irvine, Mar 13 2018

A008045 Coordination sequence T1 for Zeolite Code AWW.

Original entry on oeis.org

1, 4, 10, 20, 33, 50, 72, 98, 128, 162, 200, 241, 285, 333, 386, 444, 506, 572, 641, 713, 789, 869, 953, 1042, 1136, 1233, 1333, 1437, 1545, 1657, 1773, 1893, 2017, 2145, 2277, 2413, 2553, 2697, 2845, 2996, 3150, 3309, 3473, 3641, 3813, 3989, 4168, 4350

Offset: 0

Ralf W. Grosse-Kunstleve

nonn

W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996

R. W. Grosse-Kunstleve, Table of n, a(n) for n = 0..1000
R. W. Grosse-Kunstleve, Coordination Sequences and Encyclopedia of Integer Sequences
R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites, Acta Cryst., A52 (1996), pp. 879-889.
Sean A. Irvine, Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane
International Zeolite Association, Database of Zeolite Structures

G.f.: (1+x)^3 * (1 + 3*x^2 + 4*x^4 + 2*x^5 + 4*x^6 + 3*x^7 + 4*x^8 + 2*x^9 + 4*x^10 + 3*x^12 + x^14) / ((1-x)^3 * (1 + x + x^2) * (1 + x^3 + x^6) * (1 + x + x^2 + x^3 + x^4 + x^5 + x^6)). - Colin Barker, Dec 18 2015

A008046 Coordination sequence T2 for Zeolite Code AWW.

Original entry on oeis.org

1, 4, 9, 17, 30, 50, 74, 97, 123, 158, 198, 237, 281, 336, 394, 447, 501, 566, 638, 709, 783, 868, 960, 1047, 1133, 1230, 1334, 1435, 1537, 1650, 1772, 1895, 2019, 2150, 2284, 2413, 2543, 2684, 2836, 2993, 3155, 3322, 3486, 3643, 3801, 3972, 4156, 4345

Offset: 0

Ralf W. Grosse-Kunstleve

W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996

R. W. Grosse-Kunstleve, Table of n, a(n) for n = 0..1000
R. W. Grosse-Kunstleve, Coordination Sequences and Encyclopedia of Integer Sequences
R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites, Acta Cryst., A52 (1996), pp. 879-889.
Sean A. Irvine, Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane
International Zeolite Association, Database of Zeolite Structures

-(x^27+3*x^26+2*x^25-2*x^24-2*x^23+x^22+3*x^21+8*x^20+18*x^19+31*x^18+44*
x^17+57*x^16+71*x^15+83*x^14+90*x^13+92*x^12+92*x^11+89*x^10+79*x^9+65*x^8+53*x^7
+43*x^6+31*x^5+19*x^4+11*x^3+6*x^2+3*x+1)/(x^7-x^6+x^5-x^4+x^3-x^2+x-1)/(x-1)
/(x^15+x^14+x^13+x^12+x^11+x^10+x^9-x^6-x^5-x^4-x^3-x^2-x-1)

a(n+191)-a(n+128)-2a(n+127)+2a(n+64)+a(n+63)-a(n)=0 (N. J. A. Sloane).

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A008036 Coordination sequence T1 for Zeolite Code AST.

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A008037 Coordination sequence T2 for Zeolite Code AST.

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A008038 Coordination sequence T1 for Zeolite Code ATS.

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A008039 Coordination sequence T2 for Zeolite Code ATS.

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A008041 Coordination sequence T1 for Zeolite Code ATT.

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A008042 Coordination sequence T2 for Zeolite Code ATT.

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A008043 Coordination sequence T1 for Zeolite Code ATV.

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A008044 Coordination sequence T2 for Zeolite Code ATV.

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A008045 Coordination sequence T1 for Zeolite Code AWW.

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A008046 Coordination sequence T2 for Zeolite Code AWW.

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