A019449 Irreducible quadruple Euler sums of weight 2n+10 (verified for n <= 14).

1, 1, 3, 5, 7, 11, 16, 20, 27, 35, 43, 54, 66, 78, 94, 111, 128, 150, 173, 196, 224, 254, 284, 320, 357, 395, 439, 485, 531, 585, 640, 696, 759, 825, 891, 966, 1042, 1120, 1206, 1295, 1384, 1484, 1585, 1688, 1800, 1916, 2032, 2160, 2289, 2421

Offset

1,3

References

D. J. Broadhurst, Conjectural enumeration of irreducible MZV's: terashuffle tests at depth 4, up to weight 36, preprint, Oct 13 1996.

Links

Table of n, a(n) for n=1..50.

Formula

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

Crossrefs

Sequence in context: A316936 A116582 A052003 * A373554 A219533 A094615

Adjacent sequences: A019446 A019447 A019448 * A019450 A019451 A019452

Keyword

nonn

Author

David Broadhurst

Extensions

Checked by David Broadhurst to 320.

Status

approved