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 A141627 E.g.f. satisfies: A(x) = exp(x*A(sin(x)*x)). 1
 1, 1, 1, 7, 25, 101, 721, 8653, 66753, 574489, 7509601, 76972281, 938682625, 14560953109, 226747016497, 4226839991221, 73582415930881, 1133352458491185, 23260378180229569, 478118972286336241, 9648062520586144001, 239696533730926824301, 6090975028325867045521 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS First negative term is a(94). 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-1)(sin(x)*x)), 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, Normal[Series[Exp[x*A[n-1][Sin[x]*x]], {x, 0, n+1}]] /. x -> #]&; a[n_] := Coefficient[A[n][x], x, n]*n!; Table[a[n], {n, 0, 30}] (* Jean-François Alcover, Feb 14 2014, after Maple *) CROSSREFS Sequence in context: A035509 A332942 A247173 * A289606 A102900 A155271 Adjacent sequences: A141624 A141625 A141626 * A141628 A141629 A141630 KEYWORD sign AUTHOR Alois P. Heinz, Aug 24 2008 STATUS approved

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Last modified March 24 08:12 EDT 2023. Contains 361455 sequences. (Running on oeis4.)