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A143635 E.g.f. satisfies: A(x) = exp(x*A(((x+1)^4-1)/4)). 3
1, 1, 3, 25, 329, 6471, 175747, 6222259, 277683681, 15206462497, 1000136567591, 77666331244239, 7021789807671817, 730394622232111747, 86529393614846902371, 11573498785704862459891, 1734360074041552070631713 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

MAPLE

A:= proc(n, k::nonnegint) option remember; if n<=0 or k=0 then 1 else A(n-1, k)(((x+1)^k-1)/k) fi; unapply(convert(series(exp(x*%), x, n+1), polynom), x) end: a:= n-> coeff(A(n, 4)(x), x, n)*n!: seq(a(n), n=0..21);

MATHEMATICA

A[n_, k_] := A[n, k] = Module[{f}, f = Function[If[n <= 0 || k == 0, 1, A[n-1, k][((#+1)^k-1)/k]]]; Function[Normal[Series[Exp[x*f[x]], {x, 0, n+1}]] /. x -> #]]; a[n_] := SeriesCoefficient[A[n, 4][x], {x, 0, n}]*n!; Table[a[n], {n, 0, 21}] (* Jean-Fran├žois Alcover, Feb 13 2014, after Maple *)

CROSSREFS

Cf. 4th column of A143632.

Sequence in context: A212722 A236268 A181085 * A246756 A023997 A154961

Adjacent sequences:  A143632 A143633 A143634 * A143636 A143637 A143638

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 27 2008

STATUS

approved

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Last modified May 15 05:01 EDT 2021. Contains 343909 sequences. (Running on oeis4.)