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!)
 A295108 a(n) = (1/n) times the n-th derivative of the eighth tetration of x (power tower of order 8) x^^8 at x=1. 3
 1, 1, 3, 14, 96, 849, 9362, 123101, 1847696, 31252368, 584145552, 11981318986, 267050704368, 6432872588700, 166461202886456, 4606491806670324, 135733988375074944, 4243153626928512224, 140252989224067186752, 4887395830953148166784, 179067423776388634331904 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 1..412 Eric Weisstein's World of Mathematics, Power Tower Wikipedia, Knuth's up-arrow notation Wikipedia, Tetration FORMULA a(n) = 1/n * [(d/dx)^n x^^8]_{x=1}. a(n) = (n-1)! * [x^n] (x+1)^^8. a(n) = 1/n * A277539(n). MAPLE f:= proc(n) f(n):= `if`(n=0, 1, (x+1)^f(n-1)) end: a:= n-> (n-1)!*coeff(series(f(8), x, n+1), x, n): seq(a(n), n=1..23); MATHEMATICA f[n_] := f[n] = If[n == 0, 1, (x + 1)^f[n - 1]]; a[n_] := (n - 1)!*SeriesCoefficient[f[8], {x, 0, n}]; Array[a, 23] (* Jean-François Alcover, May 31 2018, from Maple *) CROSSREFS Column k=8 of A295028. Cf. A277539. Sequence in context: A295105 A295106 A295107 * A295109 A295110 A136461 Adjacent sequences:  A295105 A295106 A295107 * A295109 A295110 A295111 KEYWORD nonn AUTHOR Alois P. Heinz, Nov 14 2017 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 27 19:04 EDT 2020. Contains 337388 sequences. (Running on oeis4.)