A301141 Coordination sequence T2 for Zeolite Code NSI.

1, 4, 12, 26, 43, 64, 99, 133, 161, 210, 274, 318, 364, 441, 528, 593, 649, 746, 877, 953, 1003, 1145, 1314, 1383, 1450, 1629, 1822, 1911, 1979, 2179, 2433, 2524, 2569, 2831, 3132, 3199, 3260, 3568, 3894, 3980, 4033, 4363, 4767, 4846, 4859, 5268, 5728

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

Index entries for linear recurrences with constant coefficients, signature (0,-2,2,0,4,1,0,-1,-4,0,-2,2,0,1).

Formula

From Chai Wah Wu, Feb 03 2021: (Start)

a(n) = - 2*a(n-2) + 2*a(n-3) + 4*a(n-5) + a(n-6) - a(n-8) - 4*a(n-9) - 2*a(n-11) + 2*a(n-12) + a(n-14) for n > 14.

G.f.: (-x^14 - 4*x^13 - 14*x^12 - 32*x^11 - 59*x^10 - 88*x^9 - 116*x^8 - 123*x^7 - 116*x^6 - 88*x^5 - 59*x^4 - 32*x^3 - 14*x^2 - 4*x - 1)/((x - 1)^3*(x + 1)*(x^2 + 1)^3*(x^2 + x + 1)^2). (End)

Crossrefs

Sequence in context: A008176 A009903 A008048 * A008064 A008159 A057307

Adjacent sequences: A301138 A301139 A301140 * A301142 A301143 A301144

Keyword

nonn

Author

Sean A. Irvine, Mar 18 2018

Status

approved