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!)
 A277539 n-th derivative of the eighth tetration of x (power tower of order 8) x^^8 at x=1. 3
 1, 1, 2, 9, 56, 480, 5094, 65534, 984808, 16629264, 312523680, 6425601072, 143775827832, 3471659156784, 90060216241800, 2496918043296840, 73703868906725184, 2307477802376274048, 76376765284713220032, 2664806795257276548288, 97747916619062963335680 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..400 Eric Weisstein's World of Mathematics, Power Tower Wikipedia, Knuth's up-arrow notation Wikipedia, Tetration FORMULA E.g.f.: (x+1)^^8. MAPLE f:= proc(n) f(n):= `if`(n=0, 1, (x+1)^f(n-1)) end: a:= n-> n!*coeff(series(f(8), x, n+1), x, n): seq(a(n), n=0..25); MATHEMATICA f[n_] := f[n] = If[n == 0, 1, (x + 1)^f[n - 1]]; a[n_] := n!*SeriesCoefficient[f[8], {x, 0, n}]; Table[a[n], {n, 0, 25}] (* Jean-François Alcover, May 30 2018, from Maple *) CROSSREFS Column k=8 of A277537. Cf. A215703, A295108. Sequence in context: A179505 A211205 A277538 * A277540 A277541 A033917 Adjacent sequences:  A277536 A277537 A277538 * A277540 A277541 A277542 KEYWORD nonn AUTHOR Alois P. Heinz, Oct 19 2016 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 August 11 13:02 EDT 2020. Contains 336428 sequences. (Running on oeis4.)