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A215705
n-th derivative of x^((x^x)^x) at x=1.
3
1, 1, 2, 15, 80, 590, 5034, 47110, 511216, 6019416, 77899320, 1092871824, 16459538952, 265695302808, 4560878625744, 83020743848760, 1595943389477760, 32291354360340672, 685838983512807360, 15248888357184824256, 354130117874225585280, 8571971677758345319680
OFFSET
0,3
COMMENTS
Also n-th derivative of x^(x^(x^2)) at x=1.
First term < 0: a(272).
LINKS
FORMULA
E.g.f.: (x+1)^((x+1)^((x+1)^2)).
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);
MATHEMATICA
With[{nn=30}, CoefficientList[Series[(x+1)^((x+1)^((x+1)^2)), {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Nov 30 2013 *)
CROSSREFS
Column k=7 of A215703.
Sequence in context: A266622 A036239 A268735 * A368783 A301566 A109725
KEYWORD
sign
AUTHOR
Alois P. Heinz, Aug 21 2012
STATUS
approved