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A232860 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{j^3*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^3*x(i,j), i=1..n+1} nondecreasing 7
7, 14, 14, 25, 45, 25, 41, 130, 130, 41, 61, 336, 650, 336, 61, 86, 755, 2942, 2942, 755, 86, 117, 1494, 11445, 24520, 11445, 1494, 117, 156, 2696, 37040, 178630, 178630, 37040, 2696, 156, 204, 4713, 101369, 1054179, 2547039, 1054179, 101369, 4713, 204 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...7....14......25........41..........61...........86..........117..........156

..14....45.....130.......336.........755.........1494.........2696.........4713

..25...130.....650......2942.......11445........37040.......101369.......257799

..41...336....2942.....24520......178630......1054179......4995346.....20815986

..61...755...11445....178630.....2547039.....29338491....266176765...2040969695

..86..1494...37040...1054179....29338491....672737568..12123627839.180942639975

.117..2696..101369...4995346...266176765..12123627839.449539533113

.156..4713..257799..20815986..2040969695.180942639975

.204..8039..633068..81415483.14195455926

.262.13380.1515898.310059665

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..97

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A233366 A232831 A232877 * A232797 A107976 A022557

Adjacent sequences:  A232857 A232858 A232859 * A232861 A232862 A232863

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 01 2013

STATUS

approved

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Last modified January 26 11:20 EST 2020. Contains 331279 sequences. (Running on oeis4.)