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A143569 E.g.f. satisfies: A(x) = exp(x*A(x^5/5!)). 2
1, 1, 1, 1, 1, 1, 7, 43, 169, 505, 1261, 4159, 38809, 334621, 2036035, 9489481, 38390353, 257371297, 3131783929, 32230292725, 246760346161, 1493969858641, 9196517088991, 101815213853431, 1450104259874425, 16645720979718601, 147298665834676357 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..200

MAPLE

A:= proc(n) option remember; if n<=0 then 1 else unapply (convert (series (exp (x*A(n-5)(x^5/120)), x, n+1), polynom), x) fi end: a:= n-> coeff (A(n)(x), x, n)*n!: seq(a(n), n=0..31);

MATHEMATICA

A[n_] := A[n] = If[n <= 0, 1&, Function[Normal[Series[Exp[y*A[n-2][y^5/5!]], {y, 0, n+1}] /. y -> #]]]; a[n_] := Coefficient[A[n][x], x, n]*n!; Table[a[n], {n, 0, 31}] (* Jean-Fran├žois Alcover, Feb 13 2014, after Maple *)

CROSSREFS

5th column of A143565.

Sequence in context: A255314 A166813 A112563 * A351936 A193697 A027176

Adjacent sequences:  A143566 A143567 A143568 * A143570 A143571 A143572

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 24 2008

STATUS

approved

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Last modified May 28 03:27 EDT 2022. Contains 354110 sequences. (Running on oeis4.)