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 A215524 n-th derivative of (x^x)^x at x=1. 16
 1, 1, 4, 12, 52, 240, 1188, 6804, 38960, 253296, 1654560, 11816640, 85816608, 668005728, 5240582592, 44667645120, 365989405440, 3494595006720, 28075694694912, 325862541872640, 2101211758356480, 39605981661066240, 48568198208302080, 7549838510211486720, -66667098077331572736 (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). MAPLE a:= n-> n!*coeff(series(subs(x=x+1, (x^x)^x ), x, n+1), x, n): seq(a(n), n=0..30); MATHEMATICA m = 24; CoefficientList[((x+1)^(x+1))^(x+1) + O[x]^(m+1), x]*Range[0, m]! (* Jean-François Alcover, Feb 07 2021 *) CROSSREFS Column k=3 of A215703. Cf. A005727, A179230, A179405, A215522. Sequence in context: A282587 A188230 A124006 * A034716 A129841 A277431 Adjacent sequences:  A215521 A215522 A215523 * A215525 A215526 A215527 KEYWORD sign AUTHOR Alois P. Heinz, Aug 14 2012 STATUS approved

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Last modified April 14 18:25 EDT 2021. Contains 342951 sequences. (Running on oeis4.)