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A215706 n-th derivative of (((x^x)^x)^x)^x at x=1. 3
1, 1, 8, 48, 344, 3160, 31776, 349440, 4270304, 56343456, 794577600, 11975388480, 191431339392, 3225851451264, 57152333898240, 1061030230525440, 20569247105571840, 415385999498849280, 8719401647417757696, 189836589049809334272, 4278839631584572661760 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
Also n-th derivative of x^(x^4) at x=1.
First term < 0: a(130).
LINKS
FORMULA
E.g.f.: (x+1)^((x+1)^4).
MAPLE
a:= n-> n!*coeff(series(subs(x=x+1, (((x^x)^x)^x)^x ), x, n+1), x, n):
seq(a(n), n=0..25);
CROSSREFS
Column k=9 of A215703.
Sequence in context: A095897 A220251 A025013 * A200161 A172111 A144014
KEYWORD
sign
AUTHOR
Alois P. Heinz, Aug 21 2012
STATUS
approved

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Last modified August 2 13:08 EDT 2024. Contains 374848 sequences. (Running on oeis4.)