A008000 -id:A008000 - cp's OEIS frontend

A008005 Coordination sequence T2 for Zeolite Code AEL.

1, 4, 11, 22, 38, 58, 85, 115, 148, 188, 234, 280, 333, 390, 450, 519, 593, 666, 748, 833, 919, 1016, 1118, 1217, 1327, 1441, 1554, 1679, 1810, 1936, 2073, 2213, 2352, 2507, 2667, 2819, 2984, 3153, 3319, 3501, 3688, 3867, 4061, 4258, 4450, 4661, 4878, 5083

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 + 11*x^2 + 22*x^3 + 37*x^4 + 54*x^5 + 73*x^6 + 89*x^7 + 99*x^8 + 108*x^9 + 112*x^10 + 111*x^11 + 111*x^12 + 109*x^13 + 106*x^14 + 109*x^15 + 111*x^16 + 111*x^17 + 112*x^18 + 108*x^19 + 99*x^20 + 89*x^21 + 73*x^22 + 54*x^23 + 37*x^24 + 22*x^25 + 11*x^26 + 4*x^27 + x^28) / (1-x^4) / (1-x^6) / (1-x^18). - Sean A. Irvine, Mar 13 2018

A008006 Coordination sequence T3 for Zeolite Code AEL.

Original entry on oeis.org

1, 4, 12, 24, 40, 59, 84, 115, 150, 186, 230, 282, 336, 390, 452, 520, 592, 667, 746, 833, 928, 1018, 1112, 1218, 1328, 1440, 1558, 1678, 1806, 1939, 2072, 2211, 2360, 2508, 2660, 2822, 2986, 3152, 3328, 3502, 3680, 3869, 4060, 4257, 4462, 4660, 4866, 5086

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

A008007 Coordination sequence T1 for Zeolite Code AET.

Original entry on oeis.org

1, 4, 11, 21, 35, 53, 78, 108, 140, 172, 208, 250, 302, 359, 417, 473, 531, 598, 677, 764, 852, 934, 1016, 1103, 1203, 1311, 1421, 1529, 1638, 1755, 1883, 2019, 2155, 2286, 2421, 2564, 2719, 2876, 3030, 3180, 3335, 3507, 3694, 3886, 4071, 4246, 4425, 4617

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

A008008 Coordination sequence T2 for Zeolite Code AET.

Original entry on oeis.org

1, 4, 11, 21, 35, 52, 74, 102, 136, 172, 212, 257, 307, 358, 412, 470, 535, 606, 683, 762, 840, 918, 1006, 1106, 1214, 1321, 1423, 1523, 1631, 1753, 1889, 2027, 2159, 2283, 2411, 2553, 2712, 2876, 3034, 3187, 3343, 3511, 3695, 3885, 4071, 4246, 4425, 4617

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

A008009 Coordination sequence T3 for Zeolite Code AET.

Original entry on oeis.org

1, 4, 11, 22, 38, 55, 74, 98, 132, 173, 216, 260, 306, 353, 408, 473, 547, 617, 681, 748, 827, 918, 1016, 1115, 1214, 1313, 1415, 1526, 1650, 1772, 1889, 2007, 2139, 2281, 2421, 2563, 2711, 2864, 3024, 3193, 3371, 3538, 3693, 3855, 4042, 4244, 4443, 4634

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

A008010 Coordination sequence T4 for Zeolite Code AET.

Original entry on oeis.org

1, 4, 12, 23, 36, 52, 75, 103, 135, 172, 215, 258, 303, 354, 413, 475, 539, 607, 682, 758, 837, 922, 1014, 1111, 1210, 1311, 1420, 1531, 1642, 1758, 1885, 2017, 2148, 2281, 2424, 2569, 2713, 2864, 3027, 3192, 3353, 3518, 3696, 3876, 4055, 4239, 4433, 4630

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

A008011 Coordination sequence T5 for Zeolite Code AET.

Original entry on oeis.org

1, 4, 10, 18, 32, 52, 76, 105, 140, 171, 202, 244, 300, 361, 420, 472, 526, 591, 670, 763, 858, 939, 1014, 1096, 1198, 1311, 1422, 1526, 1632, 1751, 1880, 2017, 2158, 2289, 2416, 2556, 2720, 2885, 3034, 3172, 3322, 3497, 3688, 3889, 4082, 4251, 4416, 4604

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

A008012 Coordination sequence T1 for Zeolite Code AFG.

Original entry on oeis.org

1, 4, 10, 20, 34, 53, 76, 103, 135, 170, 208, 250, 299, 355, 412, 469, 530, 600, 678, 756, 834, 916, 1006, 1104, 1202, 1301, 1404, 1515, 1635, 1754, 1872, 1994, 2127, 2271, 2412, 2549, 2690, 2844, 3010, 3172, 3330, 3492, 3666, 3852, 4034, 4213, 4396, 4591

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

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
International Zeolite Association, Database of Zeolite Structures

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

A008013 Coordination sequence occurring in Zeolite Codes AFG, CAN, LIO, LOS.

Original entry on oeis.org

1, 4, 10, 20, 34, 54, 78, 104, 134, 168, 210, 256, 302, 352, 406, 470, 538, 604, 674, 748, 834, 924, 1010, 1100, 1194, 1302, 1414, 1520, 1630, 1744, 1874, 2008, 2134, 2264, 2398, 2550, 2706, 2852, 3002, 3156, 3330, 3508, 3674, 3844, 4018, 4214, 4414, 4600

Offset: 0

Ralf W. Grosse-Kunstleve

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

Vincenzo Librandi, 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.
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,2,-2,0,0,0,-1,1).

CoefficientList[Series[-(x + 1)^3 (x^8 + 3 x^6 + 5 x^4 + 3 x^2 + 1)/((x - 1)^3 (x^4 + x^3 + x^2 + x + 1)^2), {x, 0, 50}], x] (* Vincenzo Librandi, Oct 15 2013 *)

a(5m)=52*m^2+2, a(5m+1)=52*m^2+22*m+4, a(5m+2)=52*m^2+42*m+10, a(5m+3)=52*m^2+62*m+20, a(5m+4)=52*m^2+82*m+34. - N. J. A. Sloane

G.f.: -(x+1)^3*(x^8+3*x^6+5*x^4+3*x^2+1) / ((x-1)^3*(x^4+x^3+x^2+x+1)^2). - Colin Barker, Dec 12 2012

A008014 Coordination sequence T1 for Zeolite Code AFI.

Original entry on oeis.org

1, 4, 11, 21, 35, 53, 77, 105, 137, 172, 212, 256, 305, 357, 413, 473, 539, 609, 683, 760, 842, 928, 1019, 1113, 1211, 1313, 1421, 1533, 1649, 1768, 1892, 2020, 2153, 2289, 2429, 2573, 2723, 2877, 3035, 3196, 3362, 3532, 3707, 3885, 4067, 4253, 4445, 4641

Offset: 0

Ralf W. Grosse-Kunstleve

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

Vincenzo Librandi, 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.
Index entries for linear recurrences with constant coefficients, signature (2,-1,0,0,0,0,0,0,0,1,-2,1).

CoefficientList[Series[-(x^2 - x + 1) (x^2 + x + 1) (x^8 + 2 x^7 + 3 x^6 + x^5 + x^3 + 3 x^2 + 2 x + 1)/((x - 1)^3 (x + 1) (x^4 - x^3 + x^2 - x + 1) (x^4 + x^3 + x^2 + x + 1)), {x, 0, 50}], x] (* Vincenzo Librandi, Oct 15 2013 *)

a(10*m+k) = 210*m^2 + 42*k*m + one of 10 numbers depending on k, 0 <= k < 10. - N. J. A. Sloane

G.f.: -(x^2-x+1)*(x^2+x+1)*(x^8+2*x^7+3*x^6+x^5+x^3+3*x^2+2*x+1) / ((x-1)^3*(x+1)*(x^4-x^3+x^2-x+1)*(x^4+x^3+x^2+x+1)). - Colin Barker, Dec 12 2012

cp's OEIS Frontend

A008005 Coordination sequence T2 for Zeolite Code AEL.

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A008006 Coordination sequence T3 for Zeolite Code AEL.

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A008007 Coordination sequence T1 for Zeolite Code AET.

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A008008 Coordination sequence T2 for Zeolite Code AET.

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A008009 Coordination sequence T3 for Zeolite Code AET.

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A008010 Coordination sequence T4 for Zeolite Code AET.

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A008011 Coordination sequence T5 for Zeolite Code AET.

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A008012 Coordination sequence T1 for Zeolite Code AFG.

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A008013 Coordination sequence occurring in Zeolite Codes AFG, CAN, LIO, LOS.

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A008014 Coordination sequence T1 for Zeolite Code AFI.

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