The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A215643 n-th derivative of x^((x^(x^x))^x) at x=1. 4
 1, 1, 2, 15, 104, 890, 8814, 100660, 1288048, 18337680, 286674960, 4882660464, 89880715704, 1777384045944, 37552294300416, 843830334815640, 20086549955304384, 504750167170162944, 13348550475903813120, 370499740676381737728, 10766442934111876381440 (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^x*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+1)^(x+1)))^(x+1)). 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..30); MATHEMATICA m = 20; CoefficientList[(x+1)^(((x+1)^((x+1)^(x+1)))^(x+1)) + O[x]^(m+1), x]* Range[0, m]! (* Jean-François Alcover, Feb 07 2021 *) CROSSREFS Column k=15 of A215703. Cf. A005727, A179230, A179405, A215522, A215524. Sequence in context: A293045 A081018 A006675 * A332048 A295268 A037524 Adjacent sequences:  A215640 A215641 A215642 * A215644 A215645 A215646 KEYWORD nonn AUTHOR Alois P. Heinz, Aug 18 2012 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 21 00:46 EST 2022. Contains 350473 sequences. (Running on oeis4.)