OFFSET
0,12
LINKS
Colin Barker, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,1,1,1,0,0,0,0,-1).
FORMULA
From Colin Barker, Dec 17 2017: (Start)
G.f.: 1 / ((1 - x + x^2)*(1 + x - x^3 - x^4 - x^5 - x^6 - x^7 + x^9 + x^10)).
a(n) = a(n-5) + a(n-6) + a(n-7) - a(n-12) for n>11.
(End)
MATHEMATICA
f[x_] = 1 - x^5 - x^6 - x^7 + x^12; g[x] = ExpandAll[x^12*f[1/x]]; a = Table[SeriesCoefficient[ Series[1/g[x], {x, 0, 50}], n], {n, 0, 50}]
PROG
(PARI) Vec(1 / ((1 - x + x^2)*(1 + x - x^3 - x^4 - x^5 - x^6 - x^7 + x^9 + x^10)) + O(x^100)) \\ Colin Barker, Dec 17 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Roger L. Bagula, Nov 23 2008
EXTENSIONS
New name using Colin Barker's g.f. from Joerg Arndt, Dec 17 2017
STATUS
approved