The On-Line Encyclopedia of Integer Sequences (OEIS)

The OEIS is supported by the many generous donors to the OEIS Foundation.

Revision History for A203741

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

A203741

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively
(history; published version)

#5 by Russ Cox at Sat Mar 31 12:36:58 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Jan 05 2012

Discussion

Sat Mar 31

12:36

OEIS Server: https://oeis.org/edit/global/875

#4 by Ron Hardin at Thu Jan 05 08:39:46 EST 2012

STATUS

editing

approved

#3 by Ron Hardin at Thu Jan 05 08:39:42 EST 2012

LINKS

R. H. Hardin, <a href="/A203741/b203741.txt">Table of n, a(n) for n = 1..312</a>

#2 by Ron Hardin at Thu Jan 05 08:39:23 EST 2012

NAME

allocated for Ron HardinT(n,k)=Number of (n+1)X(k+1) 0..3 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively

DATA

90, 499, 499, 2166, 3912, 2166, 8667, 23442, 23442, 8667, 31942, 114276, 178836, 114276, 31942, 111916, 488745, 1091807, 1091807, 488745, 111916, 376415, 1868452, 5538127, 7927078, 5538127, 1868452, 376415, 1228141, 6571172, 24571387

OFFSET

1,1

COMMENTS

Table starts

......90......499......2166.......8667.......31942.......111916........376415

.....499.....3912.....23442.....114276......488745......1868452.......6571172

....2166....23442....178836....1091807.....5538127.....24571387......97540896

....8667...114276...1091807....7927078....47229554....240425612....1082255416

...31942...488745...5538127...47229554...325435792...1908258519....9804436984

..111916..1868452..24571387..240425612..1908258519..12852015708...75830205850

..376415..6571172..97540896.1082255416..9804436984..75830205850..513715285322

.1228141.21530128.354255616.4391206320.45182796559.399483991424.3103520015542

EXAMPLE

Some solutions for n=4 k=3

..2..1..2..1....1..1..1..0....3..3..3..3....1..0..0..1....1..0..2..1

..1..3..2..3....2..2..2..3....3..3..3..3....1..2..2..2....0..1..1..2

..3..2..3..2....2..2..2..3....3..3..3..3....2..3..3..3....2..1..1..3

..2..3..2..3....1..3..3..3....3..3..3..3....3..3..3..3....1..2..2..2

..3..2..3..2....1..3..3..3....3..3..3..3....3..3..3..3....0..3..3..3

KEYWORD

allocated

nonn,tabl

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Jan 05 2012

STATUS

approved

editing

#1 by Ron Hardin at Thu Jan 05 08:25:04 EST 2012

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved