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 A320958 #10 Jul 23 2019 04:27:01 %S A320958 1,5,468,197325,233145675,605979974250,2987147975582925, %T A320958 25254853526009732625,340477692051264295027500, %U A320958 6926101229658271208893970625,203562520854789108487169894574375,8346651541805126492397454664310896250,463877742240727904202821053051014479795625 %N A320958 The exponential limit of arcsin (odd indices only). %C A320958 See A320956 for definitions and comments. %e A320958 Illustration of the convergence in the sense of A320956: %e A320958 [0] 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... %e A320958 [1] 0, 1, 0, 1, 0, 9, 0, 225, 0, 11025, ... A177145, A001818 %e A320958 [2] 0, 1, 0, 4, 0, 144, 0, 14400, 0, 2822400, ... A122747 %e A320958 [3] 0, 1, 0, 5, 0, 369, 0, 82125, 0, 36173025, ... %e A320958 [4] 0, 1, 0, 5, 0, 459, 0, 160875, 0, 121837275, ... %e A320958 [5] 0, 1, 0, 5, 0, 468, 0, 192375, 0, 198472050, ... %e A320958 [6] 0, 1, 0, 5, 0, 468, 0, 197100, 0, 227644200, ... %e A320958 [7] 0, 1, 0, 5, 0, 468, 0, 197325, 0, 232737750, ... %e A320958 [8] 0, 1, 0, 5, 0, 468, 0, 197325, 0, 233134650, ... %e A320958 [9] 0, 1, 0, 5, 0, 468, 0, 197325, 0, 233145675, ... %p A320958 # Function ExpLim defined in A320956. %p A320958 L := [ExpLim(28, arcsin)]: seq(L[2*n], n=1..13); %t A320958 m = 13; CoefficientList[ArcSin[x] + O[x]^(2 m + 1), x]*Range[0, 2 m - 1]!*BellB[Range[0, 2 m - 1]] // DeleteCases[#, 0]& (* _Jean-François Alcover_, Jul 23 2019 *) %Y A320958 Cf. A320955 (exp), A320962 (log(x+1)), A320956 (sec+tan), this sequence (arcsin), %Y A320958 A320959 (arctanh). %Y A320958 Cf. A177145, A001818, A122747. %K A320958 nonn %O A320958 0,2 %A A320958 _Peter Luschny_, Nov 08 2018