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 A232877 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{j^2*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing 7

%I

%S 7,14,14,25,45,25,39,130,130,39,57,311,650,311,57,81,637,2715,2715,

%T 637,81,112,1235,8988,21639,8988,1235,112,151,2314,26553,133532,

%U 133532,26553,2314,151,195,4200,74515,706994,1604460,706994,74515,4200,195,247,7228

%N T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{j^2*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing

%C Table starts

%C ...7....14......25........39.........57..........81..........112.........151

%C ..14....45.....130.......311........637........1235.........2314........4200

%C ..25...130.....650......2715.......8988.......26553........74515......202293

%C ..39...311....2715.....21639.....133532......706994......3457755....16257008

%C ..57...637....8988....133532....1604460....16272765....146502363..1233883972

%C ..81..1235...26553....706994...16272765...330663907...5853344894.94722968640

%C .112..2314...74515...3457755..146502363..5853344894.206695177162

%C .151..4200..202293..16257008.1233883972.94722968640

%C .195..7228..523052..72992744.9794613332

%C .247.11846.1268666.309583532

%H R. H. Hardin, <a href="/A232877/b232877.txt">Table of n, a(n) for n = 1..96</a>

%e Some solutions for n=4 k=4

%e ..1..1..0..0..0....0..0..1..1..0....0..1..0..0..0....1..1..1..0..0

%e ..0..0..1..0..0....1..0..0..0..1....1..0..1..0..0....0..0..0..0..1

%e ..0..1..1..0..0....1..0..1..0..1....1..0..0..1..0....0..0..0..0..1

%e ..0..0..0..1..1....0..1..1..0..1....0..1..0..0..1....0..0..0..0..1

%e ..0..0..1..1..1....0..0..0..1..1....0..0..1..1..1....0..0..0..1..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 01 2013

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