A008256 Coordination sequence T1 for Milarite.

1, 4, 10, 22, 43, 69, 95, 123, 162, 215, 269, 319, 372, 435, 513, 597, 675, 754, 843, 943, 1052, 1162, 1268, 1381, 1507, 1640, 1776, 1912, 2052, 2204, 2362, 2520, 2682, 2854, 3034, 3216, 3399, 3585, 3782, 3992, 4202, 4411, 4623, 4842, 5077, 5319, 5555, 5791

Offset

0,2

Links

Sean A. Irvine, Table of n, a(n) for n = 0..1000

R. W. Grosse-Kunstleve, Coordination Sequences and Encyclopedia of Integer Sequences

R. W. Grosse-Kunstleve, G. O. Brunner and N. J. A. Sloane, Algebraic Description of Coordination Sequences and Exact Topological Densities for Zeolites, Acta Cryst., A52 (1996), pp. 879-889.

Sean A. Irvine, Generating Functions for Coordination Sequences of Zeolites, after Grosse-Kunstleve, Brunner, and Sloane

Formula

G.f.: (1 + 3*x + 7*x^2 + 15*x^3 + 28*x^4 + 40*x^5 + 50*x^6 + 59*x^7 + 70*x^8 + 76*x^9 + 71*x^10 + 63*x^11 + 52*x^12 + 40*x^13 + 28*x^14 + 19*x^15 + 7*x^16 + x^17 + x^18 - x^20) / ((1 - x)^3 * (1 + x) * (1 - x + x^2) * (1 + x^2) * (1 + x + x^2) * (1 + x^4) * (1 + x + x^2 + x^3 + x^4)). - Colin Barker, Dec 23 2015

G.f.: (1 + 4*x + 10*x^2 + 22*x^3 + 43*x^4 + 68*x^5 + 90*x^6 + 109*x^7 + 129*x^8 + 146*x^9 + 147*x^10 + 134*x^11 + 115*x^12 + 92*x^13 + 68*x^14 + 47*x^15 + 26*x^16 + 8*x^17 + 2*x^18 + x^19 - x^20 - x^21) / (1 - x^5) / (1 - x^6) / (1 - x^8). - Sean A. Irvine, Mar 15 2018

Crossrefs

Sequence in context: A032191 A065568 A007825 * A006001 A034357 A023626

Adjacent sequences: A008253 A008254 A008255 * A008257 A008258 A008259

Keyword

nonn

Author

Ralf W. Grosse-Kunstleve

Status

approved