A176696 E.g.f.: exp(6*arcsin(x))-6*arcsin(x).

1, 0, 36, 216, 1440, 9936, 74880, 608040, 5391360, 51732000, 539136000, 6055025400, 73322496000, 950831881200, 13198049280000, 194943875747400, 3061947432960000, 50884296047208000, 894088650424320000

Offset: 0

Author

Jaume Oliver Lafont, Apr 24 2010

Keywords

• nonn

Comments

Sum_{k>=0} a(k)/(2^k*k!) = e^Pi - Pi (A018938).

Crossrefs

Cf. A018938, A166748.

Programs

Mathematica

With[{nn=20},CoefficientList[Series[Exp[6ArcSin[x]]-6ArcSin[x],{x,0,nn}],x] Range[0,nn]!] (* Harvey P. Dale, Mar 11 2012 *)

PARI

a(n)=polcoeff(exp(6*asin(x))-6*asin(x),n)*n!