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

%I #6 Mar 30 2012 17:36:31

%S 1,1,3,5,7,11,16,20,27,35,43,54,66,78,94,111,128,150,173,196,224,254,

%T 284,320,357,395,439,485,531,585,640,696,759,825,891,966,1042,1120,

%U 1206,1295,1384,1484,1585,1688,1800,1916,2032,2160,2289,2421

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

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

%F 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).

%K nonn

%O 1,3

%A _David Broadhurst_

%E Checked by _David Broadhurst_ to 320.