A008000 -id:A008000 - cp's OEIS frontend

A008040 Coordination sequence T3 for Zeolite Code ATS.

1, 4, 10, 19, 32, 51, 72, 96, 124, 155, 196, 238, 278, 324, 374, 436, 500, 558, 620, 688, 772, 857, 934, 1014, 1098, 1203, 1310, 1405, 1504, 1606, 1730, 1858, 1972, 2089, 2210, 2355, 2502, 2634, 2770, 2909, 3076, 3244, 3392, 3546, 3704, 3892, 4082, 4248

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 + 7*x^3 + 13*x^4 + 16*x^5 + 18*x^6 + 20*x^7 + 18*x^8 + 16*x^9 + 13*x^10 + 7*x^11 + 5*x^12 + 2*x^13 + x^14) / ((1 - x)^3 * (1 - x + x^2) * (1 + x + x^2) * (1 + x + x^2 + x^3 + x^4)^2). - Colin Barker, Dec 21 2015

A008185 Coordination sequence T4 for Zeolite Code MOR.

Original entry on oeis.org

1, 4, 11, 24, 39, 60, 92, 122, 148, 195, 250, 293, 342, 403, 472, 551, 621, 690, 786, 879, 954, 1047, 1168, 1293, 1397, 1484, 1622, 1773, 1880, 2007, 2181, 2336, 2456, 2606, 2783, 2966, 3122, 3278, 3468, 3672, 3855, 4037, 4253, 4466, 4664, 4853, 5081, 5338

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

A008242 Coordination sequence T2 for Zeolite Code TON.

Original entry on oeis.org

1, 4, 12, 23, 43, 66, 91, 128, 169, 214, 258, 306, 381, 450, 509, 574, 659, 771, 848, 924, 1038, 1148, 1274, 1373, 1491, 1636, 1743, 1902, 2051, 2188, 2340, 2466, 2689, 2864, 2991, 3170, 3343, 3611, 3776, 3910, 4166, 4362, 4626, 4813, 5007, 5296, 5461, 5768

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

A008259 Coordination sequence T2 for Moganite, also for BGB1.

Original entry on oeis.org

1, 4, 11, 24, 41, 62, 90, 122, 157, 200, 247, 296, 354, 416, 479, 552, 629, 706, 794, 886, 977, 1080, 1187, 1292, 1410, 1532, 1651, 1784, 1921, 2054, 2202, 2354, 2501, 2664, 2831, 2992, 3170, 3352, 3527, 3720, 3917, 4106, 4314, 4526, 4729, 4952, 5179, 5396

Offset: 0

Ralf W. Grosse-Kunstleve, David M. Teter (dmteter(AT)sandia.gov)

Inorganic Crystal Structure Database: Collection Code 67669 (for Moganite)

Sean A. Irvine, 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
D. M. Teter, G.V. Gibbs, M. B. Boisen, D.C. Allan, and M. P. Teter, First principles study of several hypothetical silica framework structures, Physical Review B, 52 (1995), pp. 8064-8073.
Index entries for linear recurrences with constant coefficients, signature (1,0,2,-2,0,-1,1).

CoefficientList[Series[-(x + 1) (x^6 + 2 x^5 + 5 x^4 + 6 x^3 + 5 x^2 + 2 x + 1)/((x - 1)^3 (x^2 + x + 1)^2), {x, 0, 60}], x] (* Vincenzo Librandi, Oct 15 2013 *)
LinearRecurrence[{1,0,2,-2,0,-1,1},{1,4,11,24,41,62,90,122},70] (* Harvey P. Dale, May 10 2024 *)

a(3m) = 22m^2+2, a(3m+1) = 22m^2+15m+4, a(3m+2)=22m^2+29m+11. - N. J. A. Sloane

G.f.: -(x+1)*(x^6+2*x^5+5*x^4+6*x^3+5*x^2+2*x+1) / ((x-1)^3*(x^2+x+1)^2). - Colin Barker, Dec 12 2012

A009858 Coordination sequence T4 for Zeolite Code -PAR.

Original entry on oeis.org

1, 3, 8, 16, 29, 49, 68, 94, 123, 162, 203, 229, 276, 334, 400, 446, 481, 569, 654, 723, 781, 847, 971, 1064, 1129, 1229, 1331, 1463, 1550, 1645, 1799, 1901, 2041, 2141, 2275, 2469, 2559, 2716, 2847, 3003, 3221, 3324, 3499, 3645, 3828, 4083, 4188, 4380

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

A009943 Coordination sequence for NiAs(1), As position.

Original entry on oeis.org

1, 6, 24, 56, 96, 152, 216, 296, 384, 488, 600, 728, 864, 1016, 1176, 1352, 1536, 1736, 1944, 2168, 2400, 2648, 2904, 3176, 3456, 3752, 4056, 4376, 4704, 5048, 5400, 5768, 6144, 6536, 6936, 7352, 7776, 8216, 8664, 9128, 9600, 10088, 10584

Offset: 0

Ralf W. Grosse-Kunstleve

nonn

Gmelin Handbook of Inorg. and Organomet. Chem., 8th Ed., 1994, TYPIX search code (194) hP4.

Sean A. Irvine, 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

(1+4*x+12*x^2+10*x^3-5*x^4+2*x^5)/(1-x^2)/(1-x)^2;

A008001 Coordination sequence T1 for Zeolite Code AEI.

Original entry on oeis.org

1, 4, 9, 17, 29, 45, 64, 85, 111, 143, 177, 213, 253, 297, 345, 396, 449, 506, 568, 633, 702, 774, 847, 925, 1008, 1094, 1184, 1276, 1371, 1472, 1577, 1684, 1793, 1906, 2024, 2145, 2269, 2396, 2526, 2660, 2798, 2941, 3088, 3236, 3387, 3544, 3704, 3866, 4032

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

(1-x)*(1+7*x^2+13*x^3+22*x^4+33*x^5+45*x^6+57*x^7+71*x^8+85*x^9+
99*x^10+111*x^11+123*x^12+132*x^13+139*x^14+142*x^15+143*x^16+
142*x^17+139*x^18+132*x^19+123*x^20+111*x^21+99*x^22+85*x^23+
71*x^24+3*x+57*x^25+45*x^26+33*x^27+22*x^28+7*x^30+3*x^31+x^32+
13*x^29)*(x+1)^2/(1-x^3)/(1-x^5)/(1-x^11)/(1-x^16);

A008002 Coordination sequence T2 for Zeolite Code AEI.

Original entry on oeis.org

1, 4, 9, 17, 29, 45, 65, 88, 113, 143, 178, 214, 253, 297, 345, 395, 448, 508, 570, 632, 700, 774, 851, 927, 1007, 1096, 1185, 1275, 1372, 1474, 1577, 1681, 1793, 1910, 2025, 2142, 2267, 2398, 2528, 2660, 2800, 2944, 3088, 3235, 3389, 3546, 3703, 3864, 4031

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

A008003 Coordination sequence T3 for Zeolite Code AEI.

Original entry on oeis.org

1, 4, 9, 17, 29, 45, 65, 87, 113, 143, 176, 214, 253, 297, 345, 395, 451, 507, 568, 634, 700, 772, 848, 928, 1010, 1093, 1184, 1278, 1373, 1472, 1575, 1684, 1793, 1905, 2025, 2146, 2268, 2394, 2528, 2665, 2800, 2940, 3086, 3237, 3388, 3542, 3704, 3867, 4032

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

A008004 Coordination sequence T1 for Zeolite Code AEL.

Original entry on oeis.org

1, 4, 11, 21, 37, 59, 85, 114, 150, 189, 232, 279, 331, 390, 455, 519, 589, 667, 748, 831, 921, 1015, 1115, 1220, 1327, 1439, 1560, 1679, 1802, 1936, 2073, 2213, 2361, 2507, 2659, 2820, 2982, 3150, 3327, 3501, 3681, 3871, 4061, 4254, 4458, 4661, 4868, 5085

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

cp's OEIS Frontend

A008040 Coordination sequence T3 for Zeolite Code ATS.

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A008185 Coordination sequence T4 for Zeolite Code MOR.

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A008242 Coordination sequence T2 for Zeolite Code TON.

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A008259 Coordination sequence T2 for Moganite, also for BGB1.

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A009858 Coordination sequence T4 for Zeolite Code -PAR.

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A009943 Coordination sequence for NiAs(1), As position.

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Maple

A008001 Coordination sequence T1 for Zeolite Code AEI.

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Maple

A008002 Coordination sequence T2 for Zeolite Code AEI.

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A008003 Coordination sequence T3 for Zeolite Code AEI.

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A008004 Coordination sequence T1 for Zeolite Code AEL.

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