The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A260383

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A260383

Triangle read by rows: number of spanning trees obtained for an almost-complete bipartite graph by removing k disjoint edges from the complete bipartite graph K n,n with k<=n.
(history; published version)

#16 by Charles R Greathouse IV at Thu Sep 08 08:46:13 EDT 2022

PROG

(MAGMAMagma) /* As triangle */ [[((n-2)*n+k)*(n-2)^(k-1)*n^(2*n-k-3): k in [1..n]]: n in [1.. 15]]; // Vincenzo Librandi, Jul 24 2015

Discussion

Thu Sep 08

08:46

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

#15 by Michel Marcus at Wed Apr 27 10:37:47 EDT 2016

STATUS

reviewed

approved

#14 by Alonso del Arte at Wed Apr 27 10:19:59 EDT 2016

STATUS

proposed

reviewed

Discussion

Wed Apr 27

10:37

Michel Marcus: Sure

#13 by Andrew Howroyd at Wed Apr 27 10:13:13 EDT 2016

STATUS

editing

proposed

Discussion

Wed Apr 27

10:19

Alonso del Arte: Thank you very much for catching that.

#12 by Andrew Howroyd at Wed Apr 27 10:13:05 EDT 2016

CROSSREFS

nonn,tabl

KEYWORD

nonn,tabl

STATUS

approved

editing

#11 by N. J. A. Sloane at Tue Jul 28 12:51:15 EDT 2015

STATUS

proposed

approved

#10 by Michel Marcus at Mon Jul 27 12:11:42 EDT 2015

STATUS

editing

proposed

#9 by Michel Marcus at Mon Jul 27 12:11:31 EDT 2015

NAME

Tiangle Triangle read by rows: number of spanning trees obtained for an almost-complete bipartite graph by removing k disjoint edges from the complete bipartite graph K n,n with k<=n.

STATUS

proposed

editing

Discussion

Mon Jul 27

12:11

Michel Marcus: tss, tss ..

#8 by Vincenzo Librandi at Fri Jul 24 03:51:21 EDT 2015

STATUS

editing

proposed

#7 by Vincenzo Librandi at Fri Jul 24 03:50:48 EDT 2015

DATA

0, 1, 0, 36, 15, 6, 2304, 1280, 704, 384, 250000, 159375, 101250, 64125, 40500, 41990400, 29113344, 20155392, 13934592, 9621504, 6635520, 10169108964, 7465417295, 5476560950, 4014772125, 2941225000, 2153396875, 1575656250, 3367254360064, 2576980377600

MATHEMATICA

Join[{0, 1, 0}, t[n_, k_]:=((n - 2) n + k) (n - 2)^(k - 1) n^(2 n - k - 3); Table[t[n, k], {n, 3, 10}, {k, n}]//Flatten] (* Vincenzo Librandi, Jul 24 2015 *)

PROG

(MAGMA) /* As triangle */ [[((n-2)*n+k)*(n-2)^(k-1)*n^(2*n-k-3): k in [1..n]]: n in [1.. 15]]; // Vincenzo Librandi, Jul 24 2015

STATUS

proposed

editing