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 A179505 n-th derivative of x^(x^(x^(x^x))) at x=1. 6
 1, 1, 2, 9, 56, 480, 4374, 47894, 574888, 7829424, 116392080, 1901059512, 33564909432, 639562529424, 13047133134840, 283976169754440, 6563364026374464, 160538113862231808, 4141949353327046592, 112396373034208003008, 3199752121483607518080 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..400 FORMULA E.g.f.: (x+1)^((x+1)^((x+1)^((x+1)^(x+1)))). - Alois P. Heinz, Aug 21 2012 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); # Alois P. Heinz, Aug 21 2012 MATHEMATICA f[n_] := D[x^(x^(x^(x^x))), {x, n}] /. x -> 1; Array[f, 16, 0] Range[0, 20]! CoefficientList[ Series[(1 + x)^(1 + x)^(1 + x)^(1 + x)^(1 + x), {x, 0, 20}], x] (* Robert G. Wilson v, Feb 03 2013 *) CROSSREFS Cf. A005727, A179230, A179405, A295105. Column k=17 of A215703. Column k=5 of A277537. Sequence in context: A308380 A036243 A364822 * A211205 A277538 A277539 Adjacent sequences: A179502 A179503 A179504 * A179506 A179507 A179508 KEYWORD nonn AUTHOR Robert G. Wilson v, Jul 17 2010 EXTENSIONS a(16)-a(20) from Alois P. Heinz, Aug 21 2012 STATUS approved

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Last modified June 23 07:25 EDT 2024. Contains 373629 sequences. (Running on oeis4.)