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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A277538 n-th derivative of the seventh tetration of x (power tower of order 7) x^^7 at x=1. 3
1, 1, 2, 9, 56, 480, 5094, 65534, 944488, 15359184, 274118880, 5369469072, 114055774392, 2618129199504, 64505645760360, 1699067695202040, 47625773113856064, 1415693345589370368, 44474719907550007872, 1472352462644660486208, 51227002322058534554880 (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)^^7.

MAPLE

f:= proc(n) f(n):= `if`(n=0, 1, (x+1)^f(n-1)) end:

a:= n-> n!*coeff(series(f(7), x, n+1), x, n):

seq(a(n), n=0..25);

MATHEMATICA

f[0] = 1; f[n_] := f[n] = (x + 1)^f[n - 1];

a[n_] := n! SeriesCoefficient[f[7], {x, 0, n}];

Table[a[n], {n, 0, 25}] (* Jean-Fran├žois Alcover, May 29 2018, from Maple *)

CROSSREFS

Column k=7 of A277537.

Cf. A215703, A295107.

Sequence in context: A036243 A179505 A211205 * A277539 A277540 A277541

Adjacent sequences:  A277535 A277536 A277537 * A277539 A277540 A277541

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 12 11:25 EDT 2020. Contains 335658 sequences. (Running on oeis4.)