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A232854

Number of (n+1)X(1+1) 0..1 arrays x(i,j) with row sums sum{j^3*x(i,j), j=1..1+1} nondecreasing, and column sums sum{i^3*x(i,j), i=1..n+1} nondecreasing

+10
1

7, 14, 25, 41, 61, 86, 117, 156, 204, 262, 331, 406, 492, 590, 702, 829, 972, 1124, 1292, 1476, 1679, 1901, 2144, 2401, 2677, 2974, 3294, 3639, 4009, 4400, 4812, 5250, 5715, 6210, 6735, 7292, 7867, 8473, 9111, 9781, 10486, 11227, 11992, 12791, 13627, 14501

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 1 of A232860

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

EXAMPLE

Some solutions for n=5

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

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

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

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

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

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

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 01 2013

STATUS

approved

A232855

Number of (n+1)X(2+1) 0..1 arrays x(i,j) with row sums sum{j^3*x(i,j), j=1..2+1} nondecreasing, and column sums sum{i^3*x(i,j), i=1..n+1} nondecreasing

+10
1

14, 45, 130, 336, 755, 1494, 2696, 4713, 8039, 13380, 21741, 33960, 51312, 75339, 108579, 154222, 216194, 298111, 404477, 540201, 713414, 932397, 1208728, 1553644, 1978226, 2495860, 3124911, 3887013, 4804956, 5907138, 7218216, 8769844

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 2 of A232860

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..109

EXAMPLE

Some solutions for n=5

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

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

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

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

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

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

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 01 2013

STATUS

approved

A232856

Number of (n+1)X(3+1) 0..1 arrays x(i,j) with row sums sum{j^3*x(i,j), j=1..3+1} nondecreasing, and column sums sum{i^3*x(i,j), i=1..n+1} nondecreasing

+10
1

25, 130, 650, 2942, 11445, 37040, 101369, 257799, 633068, 1515898, 3535659, 7923813, 16924203, 34435189, 67351417, 127875041, 237092930, 430410822, 764368249, 1325374142, 2247755925, 3735891528, 6105155090, 9831802225

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 3 of A232860

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..29

EXAMPLE

Some solutions for n=5

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

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

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

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

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

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

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 01 2013

STATUS

approved

A232857

Number of (n+1)X(4+1) 0..1 arrays x(i,j) with row sums sum{j^3*x(i,j), j=1..4+1} nondecreasing, and column sums sum{i^3*x(i,j), i=1..n+1} nondecreasing

+10
0

41, 336, 2942, 24520, 178630, 1054179, 4995346, 20815986, 81415483, 310059665, 1152701225, 4126983674, 14018997429, 44827689272, 135234277395, 388552022417

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 4 of A232860

LINKS

Table of n, a(n) for n=1..16.

EXAMPLE

Some solutions for n=5

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

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

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

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

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

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

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 01 2013

STATUS

approved

A232858

Number of (n+1)X(5+1) 0..1 arrays x(i,j) with row sums sum{j^3*x(i,j), j=1..5+1} nondecreasing, and column sums sum{i^3*x(i,j), i=1..n+1} nondecreasing

+10
0

61, 755, 11445, 178630, 2547039, 29338491, 266176765, 2040969695, 14195455926, 95355497624, 626245063454

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 5 of A232860

LINKS

Table of n, a(n) for n=1..11.

EXAMPLE

Some solutions for n=4

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

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

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

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

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

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 01 2013

STATUS

approved

A232859

Number of (n+1)X(6+1) 0..1 arrays x(i,j) with row sums sum{j^3*x(i,j), j=1..6+1} nondecreasing, and column sums sum{i^3*x(i,j), i=1..n+1} nondecreasing

+10
0

86, 1494, 37040, 1054179, 29338491, 672737568, 12123627839, 180942639975, 2360925109300

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 6 of A232860

LINKS

Table of n, a(n) for n=1..9.

EXAMPLE

Some solutions for n=3

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

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

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

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

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 01 2013

STATUS

approved