%I #2 Mar 30 2012 17:31:29
%S 0,1,2,5,24,121,600,5039,40320,302401,3659040,39916799,399168000,
%T 6227020801,87160993920,1100625926399,20922789888000,355687428096001,
%U 5335329064665600,121645100408831999,2453176191578112000
%N The coefficients (times n!) of the expansion of the sum {k=1 to Inf.} of Sin(x^n).
%t Range[0, 25]! CoefficientList[ Series[ Sum[ Sin[x^n], {n, 35}], {x, 0, 25}], x]
%Y Cf. A176474, A176475.
%K nonn
%O 1,3
%A _Robert G. Wilson v_, Apr 18 2010