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A143573 E.g.f. satisfies: A(x) = exp(x*A(x^9/9!)). 2
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 111, 661, 2861, 10011, 30031, 80081, 194481, 437581, 1385671, 20323161, 294517861, 2851708861, 20461620411, 117812647921, 572637720601, 2430703053351, 9228958338601, 32965820988101, 225123959060001, 4466029537119151 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,11

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-9)(x^9/362880)), x, n+1), polynom), x) fi end: a:= n-> coeff (A(n)(x), x, n)*n!: seq(a(n), n=0..36);

MATHEMATICA

A[n_] := A[n] = If[n <= 0, 1&, Function[Normal[Series[Exp[y*A[n-2][y^9/9!]], {y, 0, n+1}] /. y -> #]]]; a[n_] := Coefficient[A[n][x], x, n]*n!; Table[a[n], {n, 0, 36}] (* Jean-Fran├žois Alcover, Feb 13 2014, after Maple *)

CROSSREFS

9th column of A143565.

Sequence in context: A062095 A055657 A049121 * A248039 A244204 A058947

Adjacent sequences:  A143570 A143571 A143572 * A143574 A143575 A143576

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 24 2008

STATUS

approved

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Last modified May 19 18:35 EDT 2022. Contains 353847 sequences. (Running on oeis4.)