The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A077043 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A077043

"Three-quarter squares": a(n) = n^2 - A002620(n).
(history; published version)

#154 by Michel Marcus at Mon Jan 16 08:18:42 EST 2023

STATUS

reviewed

approved

#153 by Joerg Arndt at Mon Jan 16 02:31:47 EST 2023

STATUS

proposed

reviewed

#152 by Amiram Eldar at Mon Jan 16 01:27:22 EST 2023

STATUS

editing

proposed

#151 by Amiram Eldar at Mon Jan 16 01:00:21 EST 2023

LINKS

R. Ralf Hinze, <a href="https://www.cs.ox.ac.uk/people/ralf.hinze/publications/CSC.pdf">Concrete stream calculus: An extended study</a>, J. Funct. Progr. 20 (5-6) (2010) 463-535, <a href="https://doi.org/10.1017/S0956796810000213">doi</a>, Section 4.4.4.

Clark Kimberling and John E. Brown, <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL7/Kimberling/kimber67.html">Partial Complements and Transposable Dispersions</a>, J. Integer Seqs., Vol. 7, (2004), Article 04.1.6.

<a href="/index/Com#comp">Index entries for sequences related to compositions</a>

<a href="/index/Com#comp">Index entries for sequences related to compositions</a>.

#150 by Amiram Eldar at Mon Jan 16 00:58:42 EST 2023

FORMULA

Sum_{n>=1} 1/a(n) = Pi^2/18 + tanh(Pi/(2*sqrt(3)))*Pi/sqrt(3). - Amiram Eldar, Jan 16 2023

STATUS

approved

editing

#149 by Jon E. Schoenfield at Wed Feb 16 23:26:19 EST 2022

STATUS

editing

approved

#148 by Jon E. Schoenfield at Wed Feb 16 23:26:16 EST 2022

PROG

(MAGMAMagma) [Ceiling(n^2*3/4): n in [0..60]]; // Vincenzo Librandi, Jun 29 2011

STATUS

approved

editing

#147 by Charles R Greathouse IV at Mon Jul 19 10:55:47 EDT 2021

STATUS

editing

approved

#146 by Charles R Greathouse IV at Mon Jul 19 10:55:38 EDT 2021

COMMENTS

For n > 0, partial sums of A001651. - Stefano Spezia, Nov 29 2019

STATUS

approved

editing

Discussion

Mon Jul 19

10:55

Charles R Greathouse IV: Remove duplicate.

#145 by N. J. A. Sloane at Sat Feb 22 22:28:54 EST 2020

STATUS

proposed

approved