A147663 Expansion of 1/(1 - x - x^2 + x^3 - x^7 + x^9 - x^11).

1, 1, 2, 2, 3, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37, 50, 66, 88, 116, 154, 203, 269, 356, 472, 625, 828, 1097, 1453, 1925, 2550, 3379, 4476, 5930, 7855, 10406, 13784, 18260, 24189, 32044, 42449, 56233, 74493, 98682, 130726, 173175, 229409, 303902, 402585

Offset

0,3

Links

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

Curtis T. McMullen, Dynamics on K3 surfaces: Salem numbers and Siegel disks, 2005.

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

Formula

G.f.: -1/((x^3 + x^2 - 1)*(x^8 - x^7 + x^5 - x^4 + x^3 - x + 1)). - Colin Barker, Sep 18 2013

a(n) = a(n-1) + a(n-2) - a(n-3) + a(n-7) - a(n-9) + a(n-10), n >= 10. - Franck Maminirina Ramaharo, Oct 31 2018

Mathematica

CoefficientList[Series[1/(1 - x - x^2 + x^3 - x^7 + x^9 - x^11), {x, 0, 50}], x] (* Franck Maminirina Ramaharo, Oct 31 2018 *)
LinearRecurrence[{1, 1, -1, 0, 0, 0, 1, 0, -1, 0, 1}, {1, 1, 2, 2, 3, 3, 4, 5, 7, 9, 12}, 50] (* Harvey P. Dale, May 31 2020 *)

Prog

(PARI) Vec(-1/((x^3+x^2-1)*(x^8-x^7+x^5-x^4+x^3-x+1))  + O(x^50)) \\ Colin Barker, Sep 18 2013
(Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1 -x-x^2+x^3-x^7+x^9-x^11))); // G. C. Greubel, Nov 03 2018

Crossrefs

Cf. A029826, A117791, A143419, A143438, A143472, A143619, A143644, A173908, A173911, A173924, A173925, A174522, A175740, A175772, A175773, A175782, A181600, A204631, A225391, A225393, A225394, A225482, A225499.

Sequence in context: A127207 A173513 A367693 * A301765 A374210 A036811

Adjacent sequences: A147660 A147661 A147662 * A147664 A147665 A147666

Keyword

nonn,easy

Author

Roger L. Bagula, Nov 09 2008

Extensions

Heavily edited (because the Name, Comments, Formula and Mathematica code did not correspond to the terms of the sequence) by Colin Barker, Sep 18 2013

Status

approved