The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A010762 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A010762

a(n) = floor(n/2) * floor(n/3).
(history; published version)

#64 by Michel Marcus at Thu Mar 30 02:27:33 EDT 2023

STATUS

reviewed

approved

#63 by Joerg Arndt at Thu Mar 30 02:08:39 EDT 2023

STATUS

proposed

reviewed

#62 by Michel Marcus at Thu Mar 30 02:01:53 EDT 2023

STATUS

editing

proposed

#61 by Michel Marcus at Thu Mar 30 02:01:50 EDT 2023

LINKS

<a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,1,0,-1,1,0,-1,-1,0,1).

STATUS

proposed

editing

#60 by Amiram Eldar at Thu Mar 30 01:58:50 EDT 2023

STATUS

editing

proposed

#59 by Amiram Eldar at Thu Mar 30 01:41:36 EDT 2023

LINKS

Kival Ngaokrajang, <a href="/A010762/a010762_1.pdf">Illustration of initial terms of invert u and 2 X 3 rectangular patterns</a>.

#58 by Amiram Eldar at Thu Mar 30 01:41:19 EDT 2023

NAME

a(n) = floor( n/2 ) * floor( n/3 ).

FORMULA

a(n) = a(n-2) + a(n-3) - a(n-5) + a(n-6) - a(n-8) - a(n-9) + a(n-11). - Clark Kimberling, May 18 2012

#57 by Amiram Eldar at Thu Mar 30 01:40:51 EDT 2023

COMMENTS

a(n) = A004526(n) * A002264(n). - Reinhard Zumkeller, Jul 25 2005

FORMULA

a(n) = A004526(n) * A002264(n). - Reinhard Zumkeller, Jul 25 2005

CROSSREFS

Cf. A002264, A004526, A010761, A110533, A242669.

#56 by Amiram Eldar at Thu Mar 30 01:40:08 EDT 2023

FORMULA

Sum_{n>=3} (-1)^(n+1)/a(n) = sqrt(3)*Pi/4 + 9*log(3)/4 - 2*log(2) - 3/2. - Amiram Eldar, Mar 30 2023

STATUS

approved

editing

#55 by Charles R Greathouse IV at Thu Sep 08 08:44:37 EDT 2022

PROG

(MAGMAMagma) [Floor(n/2)*Floor(n/3) : n in [1..50]]; // Wesley Ivan Hurt, Jun 22 2014

Discussion

Thu Sep 08

08:44

OEIS Server: https://oeis.org/edit/global/2944