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A141626
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E.g.f. satisfies: A(x) = exp(x*A(sin(x^2))).
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1
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1, 1, 1, 7, 25, 121, 841, 9031, 74257, 779185, 9465841, 98157511, 1372854121, 19401758377, 301086307705, 5668190911111, 101297827616161, 1892733268852321, 38807453736318817, 751339911589120135
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OFFSET
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0,4
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 0..100
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MAPLE
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A:= proc(n) option remember; if n=0 then 1 else unapply (convert (series ( exp (x*A(n-1)(sin(x^2))), x, n+1), polynom), x) fi end; a:= n-> coeff (A(n)(x), x, n)*n!: seq (a(n), n=0..21);
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MATHEMATICA
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A[n_] := A[n] = If[n == 0, 1, Normal[Series[Exp[x*A[n-1][Sin[x^2]]], {x, 0, n+1}]] /. x -> #]&; a[n_] := Coefficient[A[n][x], x, n]*n!; Table[a[n], {n, 0, 21}] (* Jean-François Alcover, Feb 14 2014, after Maple *)
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CROSSREFS
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Sequence in context: A199893 A129791 A216688 * A138292 A138738 A057573
Adjacent sequences: A141623 A141624 A141625 * A141627 A141628 A141629
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KEYWORD
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nonn
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AUTHOR
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Alois P. Heinz, Aug 24 2008
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STATUS
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approved
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