A022495 Conjectured number of irreducible multiple zeta values of depth 7 and weight 2n+19.

1, 4, 11, 23, 48, 85, 147, 239, 375, 564, 834, 1190, 1672, 2300, 3113, 4143, 5455, 7073, 9085, 11542, 14529, 18119, 22439, 27550, 33615, 40738, 49076, 58769, 70034, 82995, 97922, 115000, 134490, 156630, 181763, 210105, 242073, 277966, 318187

Offset

0,2

Links

Table of n, a(n) for n=0..38.

Formula

G.f.: (1 + 4*x + 8*x^2 + 8*x^3 + 6*x^4 + 4*x^5 + 5*x^6 + 6*x^7 + 3*x^8 - 2*x^9 - 3*x^10 - x^11 + x^12 + x^13) / ((1-x^2)^3 * (1-x^3)^3 * (1-x^7)).

Crossrefs

Sequence in context: A227358 A008252 A182707 * A238489 A002537 A295001

Adjacent sequences: A022492 A022493 A022494 * A022496 A022497 A022498

Keyword

nonn

Author

David Broadhurst

Extensions

More terms from Sean A. Irvine, May 17 2019

Status

approved