A008000 -id:A008000 - cp's OEIS frontend

A008026 Coordination sequence T1 for Zeolite Code AFT.

1, 4, 9, 17, 29, 45, 64, 85, 110, 140, 173, 208, 247, 294, 347, 399, 449, 504, 570, 641, 708, 774, 848, 932, 1018, 1101, 1186, 1278, 1377, 1479, 1581, 1684, 1791, 1907, 2032, 2158, 2279, 2400, 2533, 2678, 2821, 2956, 3094, 3247, 3409, 3566, 3718, 3876, 4046

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 + 4*x + 9*x^2 + 68*x^20 + 82*x^15 + 73*x^17 + 68*x^19 + 67*x^21 + 64*x^22 + 59*x^23 + 51*x^24 + 40*x^25 + 28*x^26 + 17*x^27 + 9*x^28 + 4*x^29 + x^30 + 28*x^4 + 40*x^5 + 51*x^6 + 59*x^7 + 64*x^8 + 67*x^9 + 68*x^10 + 68*x^11 + 69*x^12 + 73*x^13 + 79*x^14 + 79*x^16 + 69*x^18 + 17*x^3) / (1-x^4) / (1-x^5) / (1-x^21). - Sean A. Irvine, Mar 13 2018

A008027 Coordination sequence T2 for Zeolite Code AFT.

Original entry on oeis.org

1, 4, 9, 17, 29, 45, 64, 86, 113, 144, 178, 215, 254, 297, 345, 397, 451, 507, 570, 638, 706, 776, 851, 932, 1015, 1099, 1188, 1281, 1378, 1479, 1583, 1691, 1801, 1914, 2032, 2154, 2279, 2405, 2536, 2675, 2816, 2956, 3099, 3250, 3406, 3561, 3718, 3881, 4049

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 + 4*x + 9*x^2 + 73*x^20 + 68*x^15 + 69*x^17 + 74*x^19 + 71*x^21 + 67*x^22 + 60*x^23 + 51*x^24 + 40*x^25 + 28*x^26 + 17*x^27 + 9*x^28 + 4*x^29 + x^30 + 28*x^4 + 40*x^5 + 51*x^6 + 60*x^7 + 67*x^8 + 71*x^9 + 73*x^10 + 74*x^11 + 72*x^12 + 69*x^13 + 68*x^14 + 68*x^16 + 72*x^18 + 17*x^3) / (1-x^4) / (1-x^5) / (1-x^21). - Sean A. Irvine, Mar 13 2018

A008028 Coordination sequence T3 for Zeolite Code AFT.

Original entry on oeis.org

1, 4, 9, 17, 29, 45, 65, 88, 113, 141, 175, 216, 258, 297, 340, 394, 455, 514, 570, 631, 702, 780, 858, 932, 1008, 1095, 1192, 1289, 1380, 1472, 1576, 1692, 1809, 1918, 2025, 2145, 2280, 2416, 2543, 2668, 2805, 2956, 3110, 3257, 3399, 3550, 3718, 3892, 4057

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 + 4*x + 9*x^2 + 69*x^20 + 68*x^15 + 72*x^17 + 72*x^19 + 68*x^21 + 67*x^22 + 62*x^23 + 52*x^24 + 40*x^25 + 28*x^26 + 17*x^27 + 9*x^28 + 4*x^29 + x^30 + 28*x^4 + 40*x^5 + 52*x^6 + 62*x^7 + 67*x^8 + 68*x^9 + 69*x^10 + 72*x^11 + 74*x^12 + 72*x^13 + 69*x^14 + 69*x^16 + 74*x^18 + 17*x^3) / (1-x^4) / (1-x^5) / (1-x^21). - Sean A. Irvine, Mar 13 2018

A008029 Coordination sequence T1 for Zeolite Code AFY.

Original entry on oeis.org

1, 4, 8, 14, 25, 39, 53, 71, 96, 124, 152, 179, 208, 247, 293, 336, 378, 424, 474, 530, 591, 652, 713, 776, 843, 918, 997, 1073, 1151, 1235, 1321, 1410, 1504, 1601, 1700, 1799, 1899, 2007, 2122, 2236, 2350, 2467, 2586, 2711, 2843, 2976, 3108, 3240, 3376

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 + 3*x^2 - x^3 + 4*x^4 - 2*x^5 + 6*x^6 - 3*x^7 + 5*x^8 - 2*x^9 + 2*x^10 - 2*x^11 + 2*x^12 - 2*x^13 + x^14) / ((1 - x)^3 * (1 - x + x^2) * (1 + x^2) * (1 + x + x^2) * (1 + x + x^2 + x^3 + x^4)). - Colin Barker, Dec 18 2015

A008030 Coordination sequence T2 for Zeolite Code AFY.

Original entry on oeis.org

1, 4, 9, 16, 23, 34, 57, 82, 98, 115, 141, 178, 224, 259, 282, 322, 377, 430, 486, 535, 578, 643, 717, 781, 851, 919, 984, 1072, 1160, 1231, 1320, 1417, 1502, 1600, 1698, 1789, 1907, 2023, 2115, 2227, 2348, 2461, 2598, 2728, 2831, 2962, 3108, 3241, 3392

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+4*x^2-x^3+7*x^4+x^5+9*x^6+x^7+7*x^8-x^9+4*x^10+x^12) / ((1-x)^3 * (1-x+x^2) * (1+x^2) * (1+x+x^2)^2 * (1+x+x^2+x^3+x^4)). - Colin Barker, Dec 20 2015

A008031 Coordination sequence T1 for Zeolite Code ANA.

Original entry on oeis.org

1, 4, 10, 22, 39, 60, 87, 118, 154, 196, 242, 292, 345, 406, 471, 540, 616, 694, 780, 868, 959, 1060, 1161, 1270, 1384, 1500, 1626, 1750, 1881, 2020, 2159, 2308, 2458, 2614, 2778, 2940, 3111, 3286, 3465, 3652, 3840, 4036, 4236, 4438, 4647, 4860, 5079, 5302

Offset: 0

Ralf W. Grosse-Kunstleve

nonn

R. W. Grosse-Kunstleve, Table of n, a(n) for n = 0..1000
R. W. Grosse-Kunstleve, Coordination Sequences and Encyclopedia of Integer Sequences
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 +2*x +4*x^2 +8*x^3 +9*x^4 +11*x^5 +13*x^6 +12*x^7 +11*x^8 +11*x^9 +8*x^10 +3*x^11 +2*x^12 +3*x^13 -4*x^14 +2*x^15) / ((1 -x)^3*(1 +x^2)*(1 +x^4)*(1 +x +x^2 +x^3 +x^4)). - Colin Barker, Dec 18 2015

G.f.: (1 + 3*x + 6*x^2 + 12*x^3 + 17*x^4 + 20*x^5 + 24*x^6 + 25*x^7 + 23*x^8 + 22*x^9 + 19*x^10 + 11*x^11 + 5*x^12 + 5*x^13 - x^14 - 2*x^15 + 2*x^16) / (1-x) / (1-x^5) / (1-x^8). - Sean A. Irvine, Mar 13 2018

A008032 Coordination sequence T1 for Zeolite Code APC.

Original entry on oeis.org

1, 4, 9, 19, 35, 53, 75, 102, 132, 168, 208, 250, 298, 351, 407, 469, 534, 601, 675, 752, 832, 919, 1009, 1103, 1203, 1305, 1410, 1520, 1634, 1753, 1878, 2007, 2138, 2274, 2414, 2556, 2704, 2856, 3012, 3176, 3343, 3511, 3684, 3860, 4040, 4227, 4417, 4611

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

A008033 Coordination sequence T2 for Zeolite Code APC.

Original entry on oeis.org

1, 4, 10, 20, 35, 54, 76, 104, 136, 171, 211, 254, 302, 355, 411, 471, 536, 606, 679, 756, 837, 922, 1013, 1107, 1204, 1307, 1414, 1525, 1640, 1758, 1881, 2009, 2141, 2276, 2416, 2561, 2709, 2862, 3018, 3178, 3344, 3513, 3686, 3864, 4046, 4232, 4422, 4616

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

CoefficientList[Series[(1 + 3*x + 6*x^2 + 10*x^3 + 15*x^4 + 18*x^5 + 19*x^6 + 22*x^7 + 22*x^8 + 19*x^9 + 18*x^10 + 15*x^11 + 10*x^12 + 6*x^13 + 3*x^14 + x^15)/(1-x)/(1-x^5)/(1-x^9),{x,0,47}],x] (* Stefano Spezia, Dec 17 2022 *)

G.f.: (1 + x)*(1 + 2*x + 4*x^2 + 6*x^3 + 9*x^4 + 9*x^5 + 10*x^6 + 12*x^7 + 10*x^8 + 9*x^9 + 9*x^10 + 6*x^11 + 4*x^12 + 2*x^13 + x^14) / ((1 - x)^3*(1 + x + x^2)*(1 + x + x^2 + x^3 + x^4)*(1 + x^3 + x^6)). - Colin Barker, Dec 20 2015
G.f.: (1 + 3*x + 6*x^2 + 10*x^3 + 15*x^4 + 18*x^5 + 19*x^6 + 22*x^7 + 22*x^8 + 19*x^9 + 18*x^10 + 15*x^11 + 10*x^12 + 6*x^13 + 3*x^14 + x^15) / (1 - x) / (1 - x^5) / (1 - x^9). - Sean A. Irvine, Mar 13 2018
a(n) ~ 94*n^2/45. - Stefano Spezia, Dec 17 2022

A008034 Coordination sequence T1 for Zeolite Code APD.

Original entry on oeis.org

1, 4, 10, 21, 37, 57, 82, 112, 145, 184, 228, 275, 328, 385, 446, 512, 583, 658, 738, 823, 911, 1004, 1102, 1203, 1310, 1424, 1539, 1661, 1788, 1914, 2049, 2188, 2329, 2480, 2633, 2789, 2953, 3117, 3287, 3464, 3642, 3828, 4018, 4210, 4409, 4610, 4817, 5030

Offset: 0

Ralf W. Grosse-Kunstleve

R. W. Grosse-Kunstleve, Table of n, a(n) for n = 0..1000
R. W. Grosse-Kunstleve, Coordination Sequences and Encyclopedia of Integer Sequences
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.: (x^27+2*x^26+x^25-2*x^24-9*x^23-20*x^22-34*x^21-53*x^20-75*x^19-98*x^18-121*x^17-142*x^16-159*x^15-172*x^14-178*x^13-177*x^12-170*x^11-157*x^10-139*x^9-117*x^8-94*x^7-71*x^6-51*x^5-34*x^4-20*x^3-10*x^2-4*x-1)/(x^5-x^4+x-1)/(x^7-1)/(x^13+x^12+x^11-x^2-x-1).

A008035 Coordination sequence T2 for Zeolite Code APD.

Original entry on oeis.org

1, 4, 11, 22, 38, 59, 83, 113, 147, 186, 230, 278, 330, 386, 448, 513, 585, 660, 739, 824, 912, 1006, 1104, 1207, 1313, 1425, 1541, 1661, 1787, 1916, 2051, 2190, 2334, 2482, 2634, 2791, 2952, 3119, 3290, 3465, 3645, 3829, 4018, 4212, 4411, 4613, 4820, 5032

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^2)*(1 +3*x +7*x^2 +10*x^3 +14*x^4 +17*x^5 +20*x^6 +23*x^7 +24*x^8 +25*x^9 +24*x^10 +23*x^11 +20*x^12 +17*x^13 +14*x^14 +10*x^15 +7*x^16 +3*x^17 +x^18) / ((1-x)^3*(1 +x +x^2)*(1 +x +x^2 +x^3 +x^4 +x^5 +x^6)*(1 +x +x^2 +x^3 +x^4 +x^5 +x^6 +x^7 +x^8 +x^9 +x^10)). - Colin Barker, Dec 20 2015

G.f.: (1 + 4*x + 11*x^2 + 21*x^3 + 34*x^4 + 48*x^5 + 61*x^6 + 74*x^7 + 84*x^8 + 92*x^9 + 96*x^10 + 96*x^11 + 92*x^12 + 84*x^13 + 74*x^14 + 61*x^15 + 48*x^16 + 34*x^17 + 21*x^18 + 11*x^19 + 4*x^20 + x^21) / (1-x^3) / (1-x^7) / (1-x^11). - Sean A. Irvine, Mar 13 2018

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A008026 Coordination sequence T1 for Zeolite Code AFT.

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A008027 Coordination sequence T2 for Zeolite Code AFT.

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A008028 Coordination sequence T3 for Zeolite Code AFT.

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A008029 Coordination sequence T1 for Zeolite Code AFY.

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A008030 Coordination sequence T2 for Zeolite Code AFY.

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A008031 Coordination sequence T1 for Zeolite Code ANA.

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A008032 Coordination sequence T1 for Zeolite Code APC.

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A008033 Coordination sequence T2 for Zeolite Code APC.

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A008034 Coordination sequence T1 for Zeolite Code APD.

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A008035 Coordination sequence T2 for Zeolite Code APD.

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