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A215516
n-th derivative of cos(x)^sin(x) at x=0.
0
1, 0, 0, -3, 0, 0, 90, -63, 0, -8880, 22680, -49203, 2118600, -12383280, 60540480, -1131841623, 10857974400, -87893114400, 1246674306240, -15590737021923, 175749917616000, -2471071936993440, 35757593223327360, -502589340005210703, 7719667979121014400
OFFSET
0,4
MAPLE
f:= x-> cos(x)^sin(x):
b:= proc(n) b(n):= `if`(n=0, f, D(b(n-1))) end:
a:= n-> b(n)(0):
seq (a(n), n=0..20); # Alois P. Heinz, Aug 14 2012
MATHEMATICA
f[x_] := Cos[x]^Sin[x]; Table[Derivative[n][f][0], {n, 25}]
CROSSREFS
Cf. A160537.
Sequence in context: A215519 A215679 A160537 * A009133 A180515 A009138
KEYWORD
sign
AUTHOR
Michel Lagneau, Aug 14 2012
STATUS
approved