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 A141628 E.g.f. satisfies: A(x) = exp(x*A(tan(x))). 1
 1, 1, 3, 16, 133, 1496, 21343, 371064, 7633641, 181891072, 4937228411, 150669126400, 5114378969965, 191400122127488, 7838565428874391, 349073700821172736, 16811407320683479633, 871413633401197096960 (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) option remember; if n=0 then 1 else unapply (convert (series (exp (x*A(n-1)(tan(x))), x, n+1), polynom), x) fi end: a:= n-> coeff (A(n)(x), x, n)*n!: seq (a(n), n=0..19); MATHEMATICA A[n_] := A[n] = If[n == 0, 1, Normal[Series[Exp[x*A[n-1][Tan[x]]], {x, 0, n+1}]] /. x -> #]&; a[n_] := Coefficient[A[n][x], x, n]*n!; Table[a[n], {n, 0, 19}] (* Jean-François Alcover, Feb 14 2014, after Maple *) CROSSREFS Sequence in context: A023998 A241464 A341852 * A048802 A213357 A119392 Adjacent sequences: A141625 A141626 A141627 * A141629 A141630 A141631 KEYWORD nonn AUTHOR Alois P. Heinz, Aug 24 2008 STATUS approved

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Last modified December 11 07:17 EST 2023. Contains 367717 sequences. (Running on oeis4.)