A038360 Ranks of certain relations among Euler sums of weight n.
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
Offset: 3
Keywords
Links
- Philippe Flajolet and Bruno Salvy, Euler sums and contour integral representations, Experimental Mathematics, Vol. 7 Issue 1 (1998).
- Shingo Saito, Tatsushi Tanaka, and Noriko Wakabayashi, Combinatorial Remarks on the Cyclic Sum Formula for Multiple Zeta Values, J. Int. Seq. 14 (2011) # 11.2.4, Table 1.
- Michel Waldschmidt, Lectures on Multiple Zeta Values (IMSC2011). [Wayback Machine link]
Programs
-
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 *)
Formula
Extensions
More terms from Jean-François Alcover, Jul 29 2018
Comments