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 A024286 #18 Apr 02 2017 15:36:27 %S A024286 0,1,-8,183,-8852,733685,-92907942,16685025455,-4033626509768, %T A024286 1263031247390697,-497267081169369290,240429918597334607075, %U A024286 -140051748469197955343340,96736260363763053291403613,-78176444639905678751886122222,73077125090731363505146141810455 %N A024286 Expansion of e.g.f. log(1+sin(x)*x)/2 (even coefficients). %H A024286 Alois P. Heinz, <a href="/A024286/b024286.txt">Table of n, a(n) for n = 0..85</a> %F A024286 a(n) = (2n)! * [x^(2n)] log(1+sin(x)*x)/2. %p A024286 a:= n-> coeff(series(ln(1+sin(x)*x)/2,x,2*n+1),x,2*n)*(2*n)!: %p A024286 seq(a(n), n=0..20); # _Alois P. Heinz_, Jun 03 2012 %t A024286 Log[ 1+Sin[ x ]*x ]/2 (* Even Part *) %Y A024286 Cf. A009341. %K A024286 sign %O A024286 0,3 %A A024286 _R. H. Hardin_ %E A024286 Extended with signs Mar 1997