A141625 E.g.f. satisfies: A(x) = exp(x*A(sin(x))).

1, 1, 3, 16, 121, 1196, 14593, 211884, 3564177, 68088880, 1454676641, 34335669820, 886637924569, 24846347615792, 750534094219393, 24299661162891796, 839155129170873505, 30780528267862736320, 1194857640269127135937

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..100

Maple

A:= proc(n) option remember; if n=0 then 1 else unapply (convert (series (exp (x* A(n-1)(sin(x))), x, n+1), polynom), x) fi end; a:= n-> coeff (A(n)(x), x, n)*n!: seq (a(n), n=0..20);

Mathematica

A[n_] := A[n] = If[n == 0, 1, Normal[Series[Exp[x*A[n-1][Sin[x]]], {x, 0, n+1}]] /. x -> #]&; a[n_] := Coefficient[A[n][x], x, n]*n!; Table[a[n], {n, 0, 20}] (* Jean-François Alcover, Feb 14 2014, after Maple *)

Crossrefs

Sequence in context: A121629 A351218 A200793 * A053588 A295928 A035352

Adjacent sequences: A141622 A141623 A141624 * A141626 A141627 A141628

Keyword

nonn

Author

Alois P. Heinz, Aug 24 2008

Status

approved