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A147663 Expansion of 1/(1 - x - x^2 + x^3 - x^7 + x^9 - x^11). 23
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 (list; graph; refs; listen; history; text; internal format)
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: A018243 A127207 A173513 * A301765 A036811 A330265

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

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Last modified May 16 20:10 EDT 2022. Contains 353720 sequences. (Running on oeis4.)