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The coefficients (times n!) of the expansion of the sum {k=1 to Inf.} of Sin(x^n).
4

%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