The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A046162 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A046162

Reduced numerators of (n-1)^2/(n^2 + n + 1).
(history; published version)

#42 by Joerg Arndt at Fri Dec 30 05:30:16 EST 2022

STATUS

reviewed

approved

#41 by Michel Marcus at Fri Dec 30 03:45:50 EST 2022

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proposed

reviewed

#40 by Amiram Eldar at Fri Dec 30 03:33:44 EST 2022

STATUS

editing

proposed

#39 by Amiram Eldar at Fri Dec 30 03:21:58 EST 2022

FORMULA

From Amiram Eldar, Dec 30 2022: (Start)

With offset 0, Dirichlet g.f.: zeta(s-2)*(1-6/3^s).

Sum_{k=1..n} a(k) ~ 7*n^3/27. (End)

STATUS

approved

editing

#38 by Peter Luschny at Sat Oct 29 04:55:23 EDT 2022

STATUS

reviewed

approved

#37 by Michel Marcus at Sat Oct 29 01:21:54 EDT 2022

STATUS

proposed

reviewed

#36 by Jon E. Schoenfield at Sat Oct 29 00:37:41 EDT 2022

STATUS

editing

proposed

#35 by Jon E. Schoenfield at Sat Oct 29 00:37:39 EDT 2022

NAME

Reduced numerators of (n-1)^2/(n^2 + n + 1).

COMMENTS

Arises in Routh's theorem.

FORMULA

G.f.: x^2*(1 + 4*x + 3*x^2 + 13*x^3 + 13*x^4 + 3*x^5 + 4*x^6 + x^7)/(1 - x^3)^3.

a(n) = (n-1)^2/3 if n-1 == 0 (mod 3, ), (n-1)^2 otherwise. - David W. Wilson, Jun 12 2005, corrected by Robert Israel, Apr 28 2017

STATUS

proposed

editing

#34 by Michel Marcus at Fri Oct 28 00:31:01 EDT 2022

STATUS

editing

proposed

#33 by Michel Marcus at Fri Oct 28 00:30:56 EDT 2022

NAME

Reduced numerators of (n-1)^2/(n^2+n+1). Arises in Routh's theorem.

COMMENTS

Arises in Routh's theorem.

STATUS

proposed

editing