OFFSET
0,3
FORMULA
E.g.f. of aerated sequence: Sum(n>=0, a(n)*x^(2*n)/(2*n)!) = log(1+sinh(x)*x)/2.
MAPLE
S:= series(log(1+sinh(x)*x)/2, x, 101):
seq(coeff(S, x, 2*j)*(2*j)!, j=0..50); # Robert Israel, Jun 29 2015
MATHEMATICA
With[{nn=40}, Take[CoefficientList[Series[Log[1+Sinh[x]*x]/2, {x, 0, nn}], x] Range[0, nn]!, {1, -1, 2}]] (* Harvey P. Dale, Oct 14 2011 *)
CROSSREFS
KEYWORD
sign
AUTHOR
EXTENSIONS
Extended with signs Mar 1997
STATUS
approved