

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
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OFFSET

0,3


LINKS



MAPLE

A:= proc(n) option remember; if n=0 then 1 else unapply (convert (series (exp (x*A(n1)(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[n1][Tan[x]]], {x, 0, n+1}]] /. x > #]&; a[n_] := Coefficient[A[n][x], x, n]*n!; Table[a[n], {n, 0, 19}] (* JeanFrançois Alcover, Feb 14 2014, after Maple *)


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



