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A143568 E.g.f. satisfies: A(x) = exp(x*A(x^4/4!)). 2
1, 1, 1, 1, 1, 6, 31, 106, 281, 946, 7561, 54286, 281161, 1207636, 7997991, 81996916, 701522641, 4580581916, 29742355441, 306369616636, 3632198902321, 34977922146721, 282526761829621, 2720464688299821, 36188717552636881, 464906756446099276, 4985291127563074901 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..525

MAPLE

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

      unapply(convert(series(exp(x*A(n-4)(x^4/24)), x, n+1), polynom), x) fi

    end:

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

seq(a(n), n=0..30);

MATHEMATICA

A[n_] := A[n] = If[n <= 0, 1&, Function[Normal[Series[Exp[y*A[n-2][y^4/4!]], {y, 0, n+1}] /. y -> #]]]; a[n_] := Coefficient[A[n][x], x, n]*n!; Table[a[n], {n, 0, 30}] (* Jean-Fran├žois Alcover, Feb 13 2014, after Maple *)

CROSSREFS

4th column of A143565.

Sequence in context: A244716 A024447 A303172 * A166786 A003728 A216370

Adjacent sequences:  A143565 A143566 A143567 * A143569 A143570 A143571

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 24 2008

STATUS

approved

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Last modified April 3 00:35 EDT 2020. Contains 333195 sequences. (Running on oeis4.)