A022496 Conjectured number of irreducible multiple zeta values of depth 8 and weight 2n+22.

1, 5, 16, 37, 79, 155, 281, 484, 799, 1267, 1949, 2921, 4266, 6110, 8588, 11866, 16150, 21696, 28763, 37719, 48940, 62887, 80080, 101156, 126747, 157707, 194883, 239300, 292067, 354520, 427965, 514102, 614601, 731453, 866752, 1022982, 1202562

Offset

0,2

Links

Table of n, a(n) for n=0..36.

Formula

G.f.: (1 + 3*x + 7*x^2 + 8*x^3 + 13*x^4 + 14*x^5 + 15*x^6 + 16*x^7 + 8*x^8 + 10*x^9 + 4*x^11 - 3*x^12 + x^13 - 2*x^14 + x^15 + x^17) / ((1-x)^2 * (1-x^3)^2 * (1-x^4)^2 * (1-x^6)^2).

Crossrefs

Sequence in context: A128848 A274248 A188427 * A296536 A041044 A042645

Adjacent sequences: A022493 A022494 A022495 * A022497 A022498 A022499

Keyword

nonn

Author

David Broadhurst

Extensions

More terms from Sean A. Irvine, May 17 2019

Status

approved