A008034 Coordination sequence T1 for Zeolite Code APD.

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

0,2

Links

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

Formula

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).

Crossrefs

Sequence in context: A301009 A008260 A016430 * A008134 A009897 A009886

Adjacent sequences: A008031 A008032 A008033 * A008035 A008036 A008037

Keyword

nonn,easy

Author

Ralf W. Grosse-Kunstleve

Status

approved