|
|
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
|
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|