The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A132814

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Showing entries 1-10 | older changes

A132814

A007318^(-1) * A132813.
(history; published version)

#11 by Jon E. Schoenfield at Sun Mar 06 00:16:47 EST 2022

STATUS

editing

approved

#10 by Jon E. Schoenfield at Sun Mar 06 00:16:32 EST 2022

COMMENTS

Row sums = A005773 starting (1, 2, 5, 13, 35, 96, ...).

EXAMPLE

First few rows of the triangle are:

1;

0, 2;

0, 2, 3;

0, 0, 9, 4;

0, 0, 6, 24, 5;

0, 0, 0, 40, 50, 6;

0, 0, 0, 20, 150, 90, 7;

...

STATUS

approved

editing

#9 by N. J. A. Sloane at Mon Jan 08 01:47:46 EST 2018

EXTENSIONS

More terms by _from _Michel Marcus_, Feb 12 2014

Discussion

Mon Jan 08

01:47

OEIS Server: https://oeis.org/edit/global/2731

#8 by Joerg Arndt at Wed Feb 12 09:49:12 EST 2014

STATUS

proposed

approved

#7 by Michel Marcus at Wed Feb 12 08:57:30 EST 2014

STATUS

editing

proposed

#6 by Michel Marcus at Wed Feb 12 08:44:42 EST 2014

OFFSET

1,0,3

EXTENSIONS

Offset changed to 1 and more More terms by Michel Marcus, Feb 12 2014

Discussion

Wed Feb 12

08:44

Michel Marcus: Reverting offset change.

#5 by Michel Marcus at Wed Feb 12 08:38:30 EST 2014

STATUS

proposed

editing

#4 by Michel Marcus at Wed Feb 12 08:29:38 EST 2014

STATUS

editing

proposed

#3 by Michel Marcus at Wed Feb 12 08:29:23 EST 2014

DATA

1, 0, 2, 0, 2, 3, 0, 0, 9, 4, 0, 0, 6, 24, 5, 0, 0, 0, 40, 50, 6, 0, 0, 0, 20, 150, 90, 7, 0, 0, 0, 0, 175, 420, 147, 8, 0, 0, 0, 0, 70, 840, 980, 224, 9, 0, 0, 0, 0, 0, 756, 2940, 2016, 324, 10, 0, 0, 0, 0, 0, 252, 4410, 8400, 3780, 450, 11

OFFSET

0,1,3

PROG

(PARI) tabl(nn) = {t007318 = matrix(nn, nn, n, k, binomial(n-1, k-1)); t132813 = matrix(nn, nn, n, k, binomial(n-1, k-1)*binomial(n, k-1)); t132814 = t007318^(-1)*t132813; for (n=1, nn, for (k=1, n, print1(t132814[n, k], ", "); ); ); } \\ Michel Marcus, Feb 12 2014

EXTENSIONS

Offset changed to 1 and more terms by Michel Marcus, Feb 12 2014

STATUS

approved

editing

#2 by Russ Cox at Fri Mar 30 17:25:24 EDT 2012

AUTHOR

_Gary W. Adamson (qntmpkt(AT)yahoo.com), _, Sep 01 2007

Discussion

Fri Mar 30

17:25

OEIS Server: https://oeis.org/edit/global/135