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 A038360 Ranks of certain relations among Euler sums of weight n. 1
 1, 3, 6, 14, 29, 60, 123, 249, 503, 1012, 2032, 4075, 8164, 16347, 32719, 65471, 130986, 262030, 524137, 1048376, 2096887, 4193953, 8388143, 16776600, 33553616, 67107783, 134216296, 268433559, 536868399, 1073738495, 2147479238, 4294961454, 8589926853, 17179858932, 34359724787, 68719458745, 137438929639, 274877875372 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,2 COMMENTS It is conjectured that this is (apart from offset) the same as A216714. LINKS P. Flajolet and B. Salvy, Euler sums and contour integral representations, Experimental Mathematics, Vol. 7 Issue 1 (1998). S. Saito, T. Tanaka, N. Wakabayashi, Combinatorial Remarks on the Cyclic Sum Formula for Multiple Zeta Values , J. Int. Seq. 14 (2011) # 11.2.4, Table 1. M. Waldschmidt, Lectures on Multiple Zeta Values (IMSC2011). FORMULA a(n) = A000079(n-2) - A000931(n+3) [Saito]. - R. J. Mathar, Jul 22 2017 MATHEMATICA a[n_] := 2^(n-2) - SeriesCoefficient[(1-x^2)/(1-x^2-x^3), {x, 0, n+3}]; Table[a[n], {n, 3, 40}] (* Jean-François Alcover, Jul 29 2018, after R. J. Mathar *) CROSSREFS Sequence in context: A306884 A219768 A038359 * A216714 A084174 A036658 Adjacent sequences:  A038357 A038358 A038359 * A038361 A038362 A038363 KEYWORD nonn AUTHOR EXTENSIONS More terms from Jean-François Alcover, Jul 29 2018 STATUS approved

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Last modified May 9 10:48 EDT 2021. Contains 343732 sequences. (Running on oeis4.)