The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A054871 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A054871

a(n) = H_n(3,2) where H_n is the n-th hyperoperator.
(history; published version)

#114 by N. J. A. Sloane at Sat Jan 11 15:57:46 EST 2020

COMMENTS

Originally published as 3 agg-op-n 3 for n > 0. - _Natan Arie' Consigli_, Apr 22 2015

Sequence can also be defined as a(0) = 3, a(1) = 5, a(n) = H_{n-1}(3,3) for n > 1. - _Natan Arie' Consigli_, Apr 22 2015; edited by Danny Rorabaugh, Oct 18 2015

CROSSREFS

H_n(x,y) for various x,y: A001695 (2,n), this sequence (3,2; almost 3,3), A067652 (2,3; almost 2,4), A141044 (1,1), A175796 (n,2), A179184 (0,0), A189896 (n,n), A213619 (n,H_n(n,n)), A253855 (4,2; almost 4,4), A255176 (2,2), A255340 (4,3), A256131 (10,2; almost 10,10), A261143 (1,2), A261146 (n,3). - _Natan Arie' Consigli_ and Danny Rorabaugh, Oct 14-26 2015

EXTENSIONS

First two terms prepended by _Natan Arie' Consigli_, Apr 22 2015

Definition extended to include negative n by _Natan Arie' Consigli_, Oct 19 2015

More hyperoperator notation added by _Natan Arie' Consigli_, Jan 19 2016

Discussion

Sat Jan 11

15:57

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

#113 by Michel Marcus at Wed Dec 26 02:35:49 EST 2018

STATUS

reviewed

approved

#112 by Joerg Arndt at Tue Dec 25 11:29:07 EST 2018

STATUS

proposed

reviewed

#111 by Jianing Song at Tue Dec 25 09:23:52 EST 2018

STATUS

editing

proposed

#110 by Jianing Song at Tue Dec 25 09:23:44 EST 2018

COMMENTS

Sequence can also be defined as a(0) = 3, a(1) = 5, a(n) = H_{n-1}(3,3) for n > 1. - Natan Arie' Consigli, Apr 22 2015; edited by Danny Rorabaugh, Oct 18 2015

Next The next term is 3^3^...^3 (with 7625594784987 3's). - Jianing Song, Dec 25 2018

STATUS

proposed

editing

#109 by Jianing Song at Tue Dec 25 07:41:51 EST 2018

STATUS

editing

proposed

#108 by Jianing Song at Tue Dec 25 07:41:41 EST 2018

COMMENTS

Next term is 3^3^...^3 (with 7625594784987 3's). - Jianing Song, Dec 25 2018

STATUS

approved

editing

#107 by N. J. A. Sloane at Sun Apr 10 09:40:05 EDT 2016

STATUS

proposed

approved

#106 by Natan Arie' Consigli at Sun Apr 10 00:55:22 EDT 2016

STATUS

editing

proposed

#105 by Natan Arie' Consigli at Sun Apr 10 00:55:13 EDT 2016

COMMENTS

This function is an Ackermann function variant because it satisfies the recurrence relation above (see A046859).

Standard Caret: a ^(n-2) b.

STATUS

approved

editing