A027373 Coordination sequence T1 for Zeolite Code SAT.

1, 4, 10, 20, 33, 50, 71, 95, 124, 158, 197, 239, 282, 329, 380, 435, 495, 558, 627, 702, 779, 858, 938, 1023, 1114, 1208, 1307, 1410, 1518, 1631, 1745, 1861, 1981, 2106, 2236, 2369, 2506, 2648, 2794, 2944, 3097, 3253, 3413, 3577, 3744, 3915, 4091

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.: (1 + x) * (1 + 2*x^2 + x^3 + 2*x^4 + 4*x^5 + 2*x^6 + 5*x^7 + 5*x^8 + 5*x^9 + 4*x^10 + 5*x^11 + 5*x^12 + 5*x^13 + 2*x^14 + 4*x^15 + 2*x^16 + x^17 + 2*x^18 + x^20) / ((1 - x)^3 * (1 - x + x^2 - x^3 + x^4) * (1 + x^4) * (1 + x + x^2 + x^3 + x^4) * (1 + x^3 + x^6)). - Colin Barker, Dec 19 2015

Crossrefs

Sequence in context: A028358 A140229 A100440 * A008142 A008045 A008124

Adjacent sequences: A027370 A027371 A027372 * A027374 A027375 A027376

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved