A225501 Expansion of 1/(1 - x^4 - x^5 - x^6 - x^7 - x^8 + x^12).

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.

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (0,0,0,1,1,1,1,1,0,0,0,-1).

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

Cf. A117791, A107293, A204631, A225391, A225499, A225500.

Sequence in context: A064651 A094991 A255575 * A117298 A369571 A274200

Adjacent sequences: A225498 A225499 A225500 * A225502 A225503 A225504

Keyword

nonn,easy

Author

Roger L. Bagula, May 09 2013

Status

approved