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A232797 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{j^4*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^4*x(i,j), i=1..n+1} nondecreasing 9
7, 14, 14, 25, 45, 25, 41, 130, 130, 41, 63, 336, 650, 336, 63, 92, 785, 2942, 2942, 785, 92, 124, 1682, 11819, 24520, 11819, 1682, 124, 164, 3147, 42305, 183010, 183010, 42305, 3147, 164, 212, 5503, 127788, 1202234, 2625117, 1202234, 127788, 5503, 212 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...7....14......25........41...........63.............92.............124

..14....45.....130.......336..........785...........1682............3147

..25...130.....650......2942........11819..........42305..........127788

..41...336....2942.....24520.......183010........1202234.........6552283

..63...785...11819....183010......2625117.......33345183.......349972980

..92..1682...42305...1202234.....33345183......836488618.....17452506031

.124..3147..127788...6552283....349972980....17452506031....738302560541

.164..5503..340647..30323734...3057451085...300697300448..25786803621594

.212..9093..812254.119567288..22080850326..4213428870171.728236411637198

.270.14712.1845329.429359835.139531590875.50295798679859

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..126

EXAMPLE

Some solutions for n=4 k=4

..1..0..1..0..0....0..0..0..0..0....0..1..1..1..0....0..0..0..0..0

..1..0..0..1..0....1..0..1..0..0....0..1..1..1..0....0..0..0..0..0

..0..0..1..0..1....0..1..0..1..0....1..1..0..0..1....1..1..1..0..1

..1..0..0..1..1....0..0..1..1..0....0..0..0..1..1....1..0..0..1..1

..0..1..1..1..1....0..0..0..0..1....0..0..1..1..1....0..1..1..1..1

CROSSREFS

Sequence in context: A232831 A232877 A232860 * A107976 A022557 A307546

Adjacent sequences:  A232794 A232795 A232796 * A232798 A232799 A232800

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 30 2013

STATUS

approved

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Last modified January 25 03:49 EST 2020. Contains 331241 sequences. (Running on oeis4.)