A261666 Expansion of 1/(1-x-x^2+x^6+x^8-x^15) - 1/(1-x).

0, 0, 1, 2, 4, 7, 11, 18, 27, 42, 63, 95, 142, 211, 314, 465, 689, 1018, 1504, 2220, 3275, 4830, 7120, 10494, 15463, 22782, 33561, 49435, 72812, 107237, 157931, 232581, 342506, 504374, 742727, 1093704, 1610518, 2371524, 3492099, 5142131, 7571779, 11149393

Offset

0,4

Links

Colin Barker, Table of n, a(n) for n = 0..1000

Jianqiang Zhao, Uniform Approach to Double Shuffle and Duality Relations of Various q-Analogs of Multiple Zeta Values via Rota-Baxter Algebras, arXiv preprint arXiv:1412.8044 [math.NT], 2014. See Conjecture 10.9.

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

Mathematica

CoefficientList[Series[1/(1-x-x^2+x^6+x^8-x^15)-1/(1-x), {x, 0, 50}], x] (* or *) LinearRecurrence[{1, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 2, 4, 7, 11, 18, 27, 42, 63, 95, 142, 211, 314}, 50] (* Harvey P. Dale, Jun 24 2018 *)

Prog

(PARI) Vec(1/(1-x-x^2+x^6+x^8-x^15)-1/(1-x) + O(x^50)) \\ Michel Marcus, Sep 05 2015

Crossrefs

Sequence in context: A073738 A137631 A003403 * A034412 A289131 A054352

Adjacent sequences: A261663 A261664 A261665 * A261667 A261668 A261669

Keyword

nonn,easy

Author

N. J. A. Sloane, Sep 02 2015

Status

approved