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Revision History for A245828 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Szeged index of the grid graph P_n X P_n.
(history; published version)
#31 by Charles R Greathouse IV at Thu Sep 08 08:46:09 EDT 2022
PROG

(MAGMAMagma) [n^4*(n^2-1)/3: n in [1..40]]; // Vincenzo Librandi, Aug 07 2014

Discussion
Thu Sep 08
08:46
OEIS Server: https://oeis.org/edit/global/2944
#30 by Michel Marcus at Sun Jan 09 03:15:33 EST 2022
STATUS

reviewed

approved

#29 by Joerg Arndt at Sun Jan 09 02:42:32 EST 2022
STATUS

proposed

reviewed

#28 by Amiram Eldar at Sun Jan 09 02:40:01 EST 2022
STATUS

editing

proposed

#27 by Amiram Eldar at Sun Jan 09 02:32:32 EST 2022
LINKS

S. Klavzar, A. Rajapakse, and I. Gutman, <a href="http://dx.doi.org/10.1016/0893-9659(96)00071-7">The Szeged and the Wiener index of graphs</a>, Appl. Math. Lett., Vol. 9, No. 5 (1996, ), pp. 45-49.

#26 by Amiram Eldar at Sun Jan 09 02:31:35 EST 2022
FORMULA

From Amiram Eldar, Jan 09 2022: (Start)

Sum_{n>=2} 1/a(n) = 33/4 - Pi^2/2 - Pi^4/30.

Sum_{n>=2} (-1)^n/a(n) = 7*Pi^4/240 + Pi^2/4 - 21/4. (End)

STATUS

approved

editing

#25 by Alois P. Heinz at Sat May 22 19:27:21 EDT 2021
STATUS

editing

approved

#24 by Alois P. Heinz at Sat May 22 19:27:09 EDT 2021
COMMENTS

Conjecture: satisfies a linear recurrence having signature (7, -21, 35, -35, 21, -7, 1). - Harvey P. Dale, Mar 25 2021

LINKS

<a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).

STATUS

approved

editing

#23 by Harvey P. Dale at Thu Mar 25 19:41:02 EDT 2021
STATUS

editing

approved

#22 by Harvey P. Dale at Thu Mar 25 19:40:59 EDT 2021
COMMENTS

Conjecture: satisfies a linear recurrence having signature (7, -21, 35, -35, 21, -7, 1). - Harvey P. Dale, Mar 25 2021

MATHEMATICA

Table[(n^4 (n^2-1))/3, {n, 40}] (* Harvey P. Dale, Mar 25 2021 *)

STATUS

approved

editing