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A216351
n-th derivative of x^(x^(n-1)) at x=1.
4
1, 1, 2, 12, 156, 3160, 87990, 3218628, 150271520, 8710554816, 610951827960, 50770346742720, 4919197411068072, 548907184341479808, 69823173142960626480, 10034787531626188107840, 1616352219917942008147200, 289720383156740969786941440
OFFSET
0,3
COMMENTS
x^(x^(n-1)) = (((x^x)^x)^ ... )^x with n x's.
LINKS
FORMULA
a(n) = n! * [x^n] (x+1)^((x+1)^(n-1)).
a(n) = A216349(n,1) = A216350(n,A000081(n)) for n>0.
MAPLE
a:= n-> n! *coeff(series( (x+1)^((x+1)^(n-1)) , x, n+1), x, n):
seq(a(n), n=0..20);
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 04 2012
STATUS
approved