OFFSET
0,5
LINKS
Colin Barker, Table of n, a(n) for n = 0..987
László Németh, Hyperbolic Pascal pyramid, arXiv:1511.0267 [math.CO], 2015 (5th line of Table 2).
Index entries for linear recurrences with constant coefficients, signature (18,-99,226,-224,92,-12).
FORMULA
a(n) = 18*a(n-1) - 99*a(n-2) + 226*a(n-3) - 224*a(n-4) + 92*a(n-5) - 12*a(n-6), n >= 7.
G.f.: 6*x^4*(3 - 2*x - 6*x^2) / ((1 - x)*(1 - 4*x + 2*x^2)*(1 - 13*x + 28*x^2 - 6*x^3)). - Colin Barker, Sep 17 2017
MATHEMATICA
CoefficientList[Series[6*x^4*(3 - 2*x - 6*x^2)/((1 - x)*(1 - 4*x + 2*x^2)*(1 - 13*x + 28*x^2 - 6*x^3)), {x, 0, 20}], x] (* Wesley Ivan Hurt, Sep 17 2017 *)
PROG
(PARI) concat(vector(4), Vec(6*x^4*(3 - 2*x - 6*x^2) / ((1 - x)*(1 - 4*x + 2*x^2)*(1 - 13*x + 28*x^2 - 6*x^3)) + O(x^30))) \\ Colin Barker, Sep 17 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Eric M. Schmidt, Sep 14 2017
STATUS
approved