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
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).