A027374 Coordination sequence T2 for Zeolite Code SAT.

1, 4, 9, 17, 30, 50, 75, 100, 126, 157, 194, 234, 275, 323, 381, 444, 505, 562, 624, 696, 773, 851, 932, 1023, 1122, 1219, 1312, 1407, 1512, 1626, 1741, 1857, 1979, 2109, 2242, 2373, 2506, 2646, 2793, 2943, 3094, 3249, 3410, 3576, 3745, 3918, 4096

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

Crossrefs

Sequence in context: A038401 A008046 A008093 * A265048 A266334 A157728

Adjacent sequences: A027371 A027372 A027373 * A027375 A027376 A027377

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved