OFFSET
0,3
FORMULA
a(n) ~ n! / ((Pi/2 + exp(r)/sqrt(1-r^2)) * r^(n+1)), where r = 0.70212550839123612037106419625287862875439228120419... is the root of the equation arcsin(r)*exp(r) = Pi/2. - Vaclav Kotesovec, Feb 06 2015
MATHEMATICA
CoefficientList[Series[Tan[E^x*ArcSin[x]], {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Feb 06 2015 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Patrick Demichel (patrick.demichel(AT)hp.com)
EXTENSIONS
a(0)=0 prepended by Vaclav Kotesovec, Feb 06 2015
STATUS
approved