A301138 Coordination sequence T2 for Zeolite Code NAB.

1, 4, 8, 20, 40, 52, 82, 116, 132, 184, 236, 252, 322, 396, 416, 500, 592, 620, 722, 828, 860, 984, 1108, 1140, 1282, 1428, 1464, 1620, 1784, 1828, 2002, 2180, 2228, 2424, 2620, 2668, 2882, 3100, 3152, 3380, 3616, 3676, 3922, 4172, 4236, 4504, 4772

Offset

0,2

Links

R. W. Grosse-Kunstleve, Table of n, a(n) for n = 0..1000

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 + 4*x + 8*x^2 + 18*x^3 + 31*x^4 + 32*x^5 + 35*x^6 + 22*x^7 + 4*x^8 + 4*x^9 + x^10) / (1 - x^3)^2 / (1 - x^4).

Mathematica

CoefficientList[Series[(1 + 4*x + 8*x^2 + 18*x^3 + 31*x^4 + 32*x^5 + 35*x^6 + 22*x^7 + 4*x^8 + 4*x^9 + x^10)/(1 - x^3)^2/(1 - x^4), {x, 0, 40}], x] (* Wesley Ivan Hurt, Sep 05 2022 *)

Crossrefs

Sequence in context: A032280 A300158 A156303 * A008136 A357060 A254128

Adjacent sequences: A301135 A301136 A301137 * A301139 A301140 A301141

Keyword

nonn

Author

Sean A. Irvine, Mar 18 2018

Status

approved