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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

Alois P. Heinz, Table of n, a(n) for n = 0..400

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.

Cf. A005727, A179230, A179405, A215524.

Sequence in context: A095897 A220251 A025013 * A200161 A172111 A144014

Adjacent sequences:  A215703 A215704 A215705 * A215707 A215708 A215709

KEYWORD

sign

AUTHOR

Alois P. Heinz, Aug 21 2012

STATUS

approved

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Last modified September 23 22:32 EDT 2020. Contains 337315 sequences. (Running on oeis4.)