login
A215678
n-th derivative of sec(x)^sinh(x) at x=0.
1
1, 0, 0, 3, 0, 20, 90, 203, 3360, 11640, 123480, 971883, 7155720, 81842540, 689969280, 8098733243, 87787889280, 1037050927920, 13312247451840, 170378180195283, 2401844355066240, 34222349644158980, 518547579965036160, 8138997539240165003, 132773771778775670400
OFFSET
0,4
COMMENTS
sec(x) = 1/cos(x).
FORMULA
E.g.f.: sec(x)^sinh(x).
MAPLE
a:= n-> n!* coeff(series(sec(x)^sinh(x), x, n+1), x, n):
seq (a(n), n=0..25); # Alois P. Heinz, Aug 20 2012
MATHEMATICA
f[x_] := Sec[x]^Sinh[x]; Table[Derivative[n][f][0], {n, 0, 25}]
CROSSREFS
Cf. A215583.
Sequence in context: A102840 A009353 A215583 * A186747 A083289 A108196
KEYWORD
nonn
AUTHOR
Michel Lagneau, Aug 20 2012
STATUS
approved