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A225501
Expansion of 1/(1 - x^4 - x^5 - x^6 - x^7 - x^8 + x^12).
1
1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12, 15, 20, 27, 36, 46, 61, 80, 106, 139, 183, 241, 317, 417, 549, 722, 950, 1251, 1646, 2166, 2849, 3750, 4935, 6494, 8545, 11245, 14797, 19472, 25623, 33718, 44370, 58387
OFFSET
0,9
COMMENTS
Limiting ratio is 1.3159144319259473..., the largest real root of 1 - x^4 - x^5 - x^6 - x^7 - x^8 + x^12.
MATHEMATICA
CoefficientList[Series[1/(1 - x^4 - x^5 - x^6 - x^7 - x^8 + x^12), {x, 0, 50}], x]
LinearRecurrence[{{0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, -1}, {1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 4}, 50] (* G. C. Greubel, Nov 16 2016 *)
PROG
(PARI) Vec(1/(1 - x^4 - x^5 - x^6 - x^7 - x^8 + x^12) + O(x^50)) \\ G. C. Greubel, Nov 16 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Roger L. Bagula, May 09 2013
STATUS
approved