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A215704
n-th derivative of ((x^x)^x)^x at x=1.
5
1, 1, 6, 27, 156, 1110, 8322, 70098, 646272, 6333336, 66712680, 745731360, 8780828328, 108873486072, 1413807287760, 19157627737080, 270460073295360, 3965693824244160, 60266513065134528, 947644484349584448, 15389579447794454400, 257702782790624613120
OFFSET
0,3
COMMENTS
Also n-th derivative of x^(x^3) at x=1.
First term < 0: a(57).
LINKS
FORMULA
E.g.f.: (x+1)^((x+1)^3).
MAPLE
a:= n-> n!*coeff(series(subs(x=x+1, ((x^x)^x)^x ), x, n+1), x, n):
seq(a(n), n=0..25);
CROSSREFS
Column k=5 of A215703.
Sequence in context: A377153 A373714 A018901 * A137968 A062512 A087297
KEYWORD
sign
AUTHOR
Alois P. Heinz, Aug 21 2012
STATUS
approved