A175773 Expansion of 1/(1 - x - x^6 - x^11 + x^12).

1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 8, 10, 13, 17, 22, 28, 37, 48, 62, 80, 103, 133, 172, 223, 289, 374, 483, 625, 808, 1045, 1352, 1749, 2262, 2926, 3785, 4896, 6333, 8191, 10595, 13704, 17726, 22929, 29659, 38363, 49622, 64185, 83022, 107388, 138905, 179672

Offset

0,7

Comments

The ratio a(n+1)/a(n) is 1.2934859531254534... for n->infinity.

Links

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

Michael Mossinghoff, Small Salem numbers

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

Formula

G.f.: 1/((1 - x + x^2)*(1 - x^2 - x^3 + x^5 - x^7 - x^8 + x^10)).

a(n) = a(n-1) + a(n-6) + a(n-11) - a(n-12), n >= 12. - Franck Maminirina Ramaharo, Oct 31 2018

Mathematica

CoefficientList[Series[1/(1 - x - x^6 - x^11 + x^12), {x, 0, 50}], x]

Prog

(PARI) x='x+O('x^50); Vec(1/(1-x-x^6-x^11+x^12)) \\ G. C. Greubel, Nov 03 2018
(Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x-x^6-x^11+x^12))); // G. C. Greubel, Nov 03 2018

Crossrefs

Cf. A175739.

Cf. A029826, A117791, A143419, A143438, A143472, A143619, A143644, A147663, A173908, A173911, A173924, A173925, A174522, A175740, A175772, A175782, A181600, A204631, A225391, A225393, A225394, A225482, A225499.

Sequence in context: A036415 A054961 A086736 * A234949 A269303 A276642

Adjacent sequences: A175770 A175771 A175772 * A175774 A175775 A175776

Keyword

nonn,easy

Author

Roger L. Bagula, Dec 04 2010

Status

approved