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 A215709 n-th derivative of (x^x)^((x^x)^x) at x=1. 3
 1, 1, 4, 24, 172, 1420, 13968, 154336, 1914288, 26108208, 388596960, 6251899104, 108088087776, 1995840455232, 39183950494752, 814399382073120, 17856182764554240, 411671923447488768, 9952212794293198080, 251646630845685827328, 6640389412581544588800 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Also n-th derivative of (x^((x^x)^x))^x = x^(x^(x^2)*x) at x=1. LINKS Alois P. Heinz, Table of n, a(n) for n = 0..400 FORMULA E.g.f.: (x+1)^((x+1)^(x^2+2*x+2)). MAPLE a:= n-> n!*coeff(series(subs(x=x+1, x^(x^(x^2)*x) ), x, n+1), x, n): seq(a(n), n=0..25); CROSSREFS Column k=12 of A215703. Cf. A005727, A179230, A179405, A215524. Sequence in context: A365225 A347651 A032349 * A103334 A156017 A000309 Adjacent sequences: A215706 A215707 A215708 * A215710 A215711 A215712 KEYWORD nonn AUTHOR Alois P. Heinz, Aug 21 2012 STATUS approved

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Last modified September 21 21:57 EDT 2023. Contains 365503 sequences. (Running on oeis4.)