The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A275003 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A275003

a(n) = f_n(2), with f_0(x) = x+3, f_n+1(x) = (f_n)^x(x).
(history; published version)

#11 by N. J. A. Sloane at Sat Jan 11 15:57:47 EST 2020

AUTHOR

_Natan Arie' Consigli_, Nov 09 2016

Discussion

Sat Jan 11

15:57

OEIS Server: https://oeis.org/edit/global/2842

#10 by N. J. A. Sloane at Sat Dec 24 18:19:54 EST 2016

STATUS

editing

approved

#9 by N. J. A. Sloane at Sat Dec 24 18:19:51 EST 2016

CROSSREFS

A154714(F[1]_n(2)), A275001(F[n]_n(n)), A275002(F[n]_3(2)), A275004(F[4]_n(x)), A275005(F[5]_n(x)), A275006(F[6]_n(x)), A275009(F[k]_n(2)).

STATUS

approved

editing

#8 by N. J. A. Sloane at Wed Nov 30 06:35:14 EST 2016

STATUS

proposed

approved

#7 by Natan Arie' Consigli at Wed Nov 30 06:22:33 EST 2016

STATUS

editing

proposed

#6 by Natan Arie' Consigli at Sun Nov 13 16:42:54 EST 2016

CROSSREFS

A154714(F[1]_n(2)), A275001(F[n]_n(n)), A275002(F[n]_3(2)), A275004(F[4]_n(x)), A275005(F[5]_n(x)), A275006(F[6]_n(x)), A275009(F[k]_n(2)).

Discussion

Mon Nov 28

04:01

OEIS Server: This sequence has not been edited or commented on for a week
yet is not proposed for review.  If it is ready for review, please
visit https://oeis.org/draft/A275003 and click the button that reads
"These changes are ready for review by an OEIS Editor."

Thanks.
  - The OEIS Server

#5 by Natan Arie' Consigli at Wed Nov 09 18:16:31 EST 2016

NAME

allocated for Natan Arie' Consigli

a(n) = f_n(2), with f_0(x) = x+3, f_n+1(x) = (f_n)^x(x).

DATA

5, 8, 32, 590295810358705651712

OFFSET

0,1

REFERENCES

Next term is too large to include.

This function is a particular instance of the fast-iteration hierarchy function F[k]_n(x). Here we have f_n(x) = F[3]_n(x). See A275000 for details and definitions and formulae.

MATHEMATICA

f[0, x_] := x + 3; f[n_, x_] := Nest[f[n - 1, # ]&, x, x]; Table[f[n, 2], {n, 0, 3}]

KEYWORD

allocated

nonn

AUTHOR

Natan Arie' Consigli, Nov 09 2016

#4 by Natan Arie' Consigli at Wed Nov 09 17:01:24 EST 2016

NAME

allocated for Natan Arie' Consigli

KEYWORD

recycled

allocated

STATUS

approved

editing

#3 by R. J. Mathar at Wed Nov 09 15:02:01 EST 2016

STATUS

editing

approved

#2 by R. J. Mathar at Wed Nov 09 15:01:56 EST 2016

NAME

allocated for Natan Arie' Consigli

KEYWORD

allocated

recycled

STATUS

approved

editing