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A143571 E.g.f. satisfies: A(x) = exp(x*A(x^7/7!)). 2
1, 1, 1, 1, 1, 1, 1, 1, 9, 73, 361, 1321, 3961, 10297, 24025, 77221, 926641, 10696401, 84365425, 499445857, 2395445521, 9778915441, 36584246161, 248210675593, 3971313933049, 54773770095001, 549282704399001, 4258482133019401, 27025791550397641 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,9

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..566

MAPLE

A:= proc(n) option remember; if n<=0 then 1 else unapply(convert(

      series(exp(x*A(n-7)(x^7/5040)), x, n+1), polynom), x) fi

    end:

a:= n-> coeff(A(n)(x), x, n)*n!:

seq(a(n), n=0..34);

MATHEMATICA

A[n_] := A[n] = If[n <= 0, 1&, Function[Normal[Series[Exp[y*A[n-2][y^7/7!]], {y, 0, n+1}] /. y -> #]]]; a[n_] := Coefficient[A[n][x], x, n]*n!; Table[a[n], {n, 0, 34}] (* Jean-Fran├žois Alcover, Feb 13 2014, after Maple *)

CROSSREFS

7th column of A143565.

Sequence in context: A091986 A096129 A291700 * A244202 A079927 A126641

Adjacent sequences:  A143568 A143569 A143570 * A143572 A143573 A143574

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 24 2008

STATUS

approved

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Last modified March 28 05:38 EDT 2020. Contains 333073 sequences. (Running on oeis4.)