The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A215691 n-th derivative of (x^x)^(x^(x^x)) at x=1. 3
 1, 1, 4, 18, 124, 950, 8688, 89600, 1038392, 13309272, 186471480, 2837173152, 46466835072, 815532508440, 15246845864040, 302533865599800, 6344720827608384, 140208886623418752, 3254819745378435264, 79172189409906466560, 2013138139856523598080 (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)+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); CROSSREFS Column k=13 of A215703. Cf. A005727, A179230, A179405, A215522, A215524, A215643. Sequence in context: A228065 A317377 A332748 * A073511 A108704 A001423 Adjacent sequences:  A215688 A215689 A215690 * A215692 A215693 A215694 KEYWORD nonn AUTHOR Alois P. Heinz, Aug 20 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 September 23 22:32 EDT 2020. Contains 337315 sequences. (Running on oeis4.)