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Conjectured number of irreducible multiple zeta values of depth 7 and weight 2n+19.
0

%I #9 May 17 2019 22:07:19

%S 1,4,11,23,48,85,147,239,375,564,834,1190,1672,2300,3113,4143,5455,

%T 7073,9085,11542,14529,18119,22439,27550,33615,40738,49076,58769,

%U 70034,82995,97922,115000,134490,156630,181763,210105,242073,277966,318187

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

%F 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)).

%K nonn

%O 0,2

%A _David Broadhurst_

%E More terms from _Sean A. Irvine_, May 17 2019