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A038360
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Ranks of certain relations among Euler sums of weight n.
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1
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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
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OFFSET
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3,2
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COMMENTS
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It is conjectured that this is (apart from offset) the same as A216714.
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LINKS
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Table of n, a(n) for n=3..40.
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).
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FORMULA
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a(n) = A000079(n-2) - A000931(n+3) [Saito]. - R. J. Mathar, Jul 22 2017
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MATHEMATICA
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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 *)
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CROSSREFS
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Sequence in context: A306884 A219768 A038359 * A216714 A084174 A036658
Adjacent sequences: A038357 A038358 A038359 * A038361 A038362 A038363
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane
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EXTENSIONS
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More terms from Jean-François Alcover, Jul 29 2018
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STATUS
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approved
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