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

0,3

Comments

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

Links

Table of n, a(n) for n=0..18.

Mathematica

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

Prog

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

Crossrefs

Cf. A018938, A166748.

Sequence in context: A365308 A230470 A066610 * A269031 A113164 A237252

Adjacent sequences: A176693 A176694 A176695 * A176697 A176698 A176699

Keyword

nonn

Author

Jaume Oliver Lafont, Apr 24 2010

Status

approved