A261667 Dimension of a certain space of duality relations arising in study of q-analogs of multiple zeta values.

0, 0, 0, 0, 1, 2, 6, 12, 25, 48, 90

Offset

2,6

Links

Table of n, a(n) for n=2..12.

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 Table 9, line 3.

Formula

It appears that a(n) = A000071(n) - A261666(n). - Michel Marcus, Sep 05 2015

Empirical g.f.: -x^6*(x^9 -x^2 -1) / ((x -1)*(x^2 +x -1)*(x^14 +x^13 +x^12 +x^11 +x^10 +x^9 +x^8 -x^5 -x^4 -x^3 -x^2 +1)). - Colin Barker, Sep 14 2015

Crossrefs

Sequence in context: A304710 A137829 A262196 * A116562 A045925 A128020

Adjacent sequences: A261664 A261665 A261666 * A261668 A261669 A261670

Keyword

nonn,more

Author

N. J. A. Sloane, Sep 02 2015

Status

approved