This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A038360 #35 Dec 27 2024 08:45:44
%S A038360 1,3,6,14,29,60,123,249,503,1012,2032,4075,8164,16347,32719,65471,
%T A038360 130986,262030,524137,1048376,2096887,4193953,8388143,16776600,
%U A038360 33553616,67107783,134216296,268433559,536868399,1073738495,2147479238,4294961454,8589926853,17179858932,34359724787,68719458745,137438929639,274877875372
%N A038360 Ranks of certain relations among Euler sums of weight n.
%C A038360 It is conjectured that this is (apart from offset) the same as A216714.
%H A038360 Philippe Flajolet and Bruno Salvy, <a href="http://projecteuclid.org/euclid.em/1047674270">Euler sums and contour integral representations</a>, Experimental Mathematics, Vol. 7 Issue 1 (1998).
%H A038360 Shingo Saito, Tatsushi Tanaka, and Noriko Wakabayashi, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL14/Saito/saito22.html">Combinatorial Remarks on the Cyclic Sum Formula for Multiple Zeta Values</a>, J. Int. Seq. 14 (2011) # 11.2.4, Table 1.
%H A038360 Michel Waldschmidt, <a href="https://web.archive.org/web/20140224114402/http://www.math.jussieu.fr/~miw/articles/pdf/MZV2011IMSc.pdf">Lectures on Multiple Zeta Values</a> (IMSC2011). [Wayback Machine link]
%F A038360 a(n) = A000079(n-2) - A000931(n+3) [Saito]. - _R. J. Mathar_, Jul 22 2017
%t A038360 a[n_] := 2^(n-2) - SeriesCoefficient[(1-x^2)/(1-x^2-x^3), {x, 0, n+3}];
%t A038360 Table[a[n], {n, 3, 40}] (* _Jean-François Alcover_, Jul 29 2018, after _R. J. Mathar_ *)
%K A038360 nonn
%O A038360 3,2
%A A038360 _N. J. A. Sloane_
%E A038360 More terms from _Jean-François Alcover_, Jul 29 2018