OFFSET
0,2
REFERENCES
Gmelin Handbook of Inorg. and Organomet. Chem., 8th Ed., 1994, TYPIX search code (205) cP12
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
Index entries for linear recurrences with constant coefficients, signature (0,1,0,2,0,-2,0,-1,0,1).
FORMULA
From Colin Barker, Feb 13 2018: (Start)
G.f.: (1 + 4*x + 17*x^2 + 33*x^3 + 50*x^4 + 60*x^5 + 65*x^6 + 35*x^7 + 20*x^8 + 5*x^9 - 4*x^10 + x^11 + x^12) / ((1 - x)^3*(1 + x)^3*(1 + x^2)^2).
a(n) = a(n-2) + 2*a(n-4) - 2*a(n-6) - a(n-8) + a(n-10) for n>12.
(End)
MATHEMATICA
LinearRecurrence[{0, 1, 0, 2, 0, -2, 0, -1, 0, 1}, {1, 4, 18, 37, 70, 105, 169, 206, 292, 343, 469, 513, 664}, 50] (* Harvey P. Dale, Jun 12 2019 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved