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
KEYWORD
nonn
AUTHOR
Sean A. Irvine, Mar 18 2018
STATUS
approved