A251885 -id:A251885

A251878

Number of (n+2)X(1+2) 0..4 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime

+10
1

5495, 11492, 20025, 49529, 117744, 256604, 676969, 1694929, 3850641, 10168955, 25657626, 58789576, 154405779, 390732438, 900368454, 2349009411, 5954768481, 13795315565, 35777536598, 90799627321, 211393940417, 545320046544

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

OFFSET

1,1

COMMENTS

Column 1 of A251885

LINKS

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

EXAMPLE

Some solutions for n=4

..1..1..3....1..0..1....0..4..1....1..4..2....2..0..0....2..4..1....3..4..0

..2..1..0....1..0..1....4..0..1....1..3..1....0..1..4....3..3..1....1..3..3

..0..1..4....3..2..0....3..3..1....3..4..0....3..1..3....0..0..3....3..4..0

..3..1..1....1..3..1....4..0..3....3..0..4....4..1..0....0..0..3....1..0..4

..4..3..0....3..0..4....0..4..3....1..1..1....0..3..2....3..3..1....1..3..3

..0..3..4....3..4..0....1..3..1....1..1..0....1..1..3....4..0..3....1..4..0

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 10 2014

STATUS

approved

A251879

Number of (n+2)X(2+2) 0..4 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime

+10
1

11492, 16857, 36085, 100787, 242531, 725325, 2472269, 6408131, 19769560, 78452511, 212230688, 666265060, 2912844580, 8061613986, 25541729546, 117108085594, 327465960182, 1041920747781, 4874382846428, 13688187308337

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

OFFSET

1,1

COMMENTS

Column 2 of A251885

LINKS

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

EXAMPLE

Some solutions for n=4

..0..3..4..4....3..1..3..1....3..1..1..1....1..3..3..1....0..0..3..0

..1..1..3..3....0..1..4..0....4..0..3..2....1..4..0..3....2..0..1..4

..4..1..0..4....0..3..0..4....0..4..3..0....1..0..4..1....3..3..1..3

..0..3..4..0....3..1..3..3....3..3..1..1....1..3..3..1....0..4..1..0

..3..1..3..1....0..3..0..0....2..0..3..4....1..4..0..3....4..0..3..2

..4..3..0..4....4..1..2..0....0..2..1..0....1..0..4..3....3..3..1..3

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 10 2014

STATUS

approved

A251880

Number of (n+2)X(3+2) 0..4 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime

+10
1

20025, 36085, 94046, 237142, 848547, 2892699, 8113568, 29479780, 102515893, 303454217, 1103232945, 3874324883, 11951362082, 43336404358, 152949477561, 486387698163, 1758213474430, 6216858050103, 20208620436696, 72836307733722

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

OFFSET

1,1

COMMENTS

Column 3 of A251885

LINKS

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

EXAMPLE

Some solutions for n=3

..0..2..1..2..0....0..3..4..0..1....0..4..3..0..4....1..1..3..3..1

..2..0..3..0..4....3..1..3..3..1....4..0..3..4..0....2..1..0..4..1

..3..3..1..3..3....4..3..0..4..3....3..1..1..1..3....0..3..4..0..3

..2..0..3..0..4....0..3..4..0..1....4..4..3..0..4....1..1..3..1..1

..0..4..3..4..0....3..1..1..1..1....4..0..3..2..0....1..1..0..2..1

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 10 2014

STATUS

approved

A251881

Number of (n+2)X(4+2) 0..4 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime

+10
1

49529, 100787, 237142, 1036785, 4243461, 14269266, 64083601, 266275459, 902777675, 4085369642, 17034771641, 57889402251, 262673853730, 1096504899687, 3730444680839, 16939960843116, 70745310139665, 240883260471212

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

OFFSET

1,1

COMMENTS

Column 4 of A251885

LINKS

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

EXAMPLE

Some solutions for n=2

..4..4..3..4..0..3....3..1..3..3..1..1....0..4..3..4..0..3....0..2..3..0..4..3

..0..4..1..0..4..1....0..3..0..4..3..4....4..0..3..0..4..3....2..0..1..4..0..3

..1..3..1..1..3..1....4..3..4..0..3..0....1..3..1..3..3..1....3..3..1..3..3..1

..2..0..3..4..4..3....1..1..3..1..1..3....2..0..3..0..4..3....0..4..3..0..4..1

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 10 2014

STATUS

approved

A251882

Number of (n+2)X(5+2) 0..4 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime

+10
1

117744, 242531, 848547, 4243461, 17612152, 96631623, 513228578, 2133116461, 12086844180, 67036259385, 280092161055, 1622827533151, 9356871157757, 39244047371596, 231721741001208, 1380662151150154, 5809743569241608

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

OFFSET

1,1

COMMENTS

Column 5 of A251885

LINKS

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

EXAMPLE

Some solutions for n=1

..0..1..2..4..1..2..2....3..1..1..1..0..2..0....3..3..1..3..3..1..3

..2..3..2..2..1..4..2....4..4..3..0..2..0..1....4..0..3..0..4..1..0

..1..3..1..1..0..1..1....4..2..1..4..0..1..4....0..0..3..4..0..1..2

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 10 2014

STATUS

approved

A251883

Number of (n+2)X(6+2) 0..4 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime

+10
1

256604, 725325, 2892699, 14269266, 96631623, 615536028, 3186483082, 21970640444, 143585893407, 763905174081, 5329570585851, 35325618021657, 191417416912064, 1344984048889486, 9001481313346745, 49409963417590684

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

OFFSET

1,1

COMMENTS

Column 6 of A251885

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..102

EXAMPLE

Some solutions for n=1

..0..1..1..1..3..1..1..1....0..4..3..0..4..3..0..4....1..2..0..1..1..1..3..3

..0..2..0..3..4..0..3..4....3..3..1..1..1..1..3..1....1..0..2..0..3..0..4..3

..3..0..2..3..0..4..1..2....4..0..1..4..0..3..4..0....1..1..0..2..1..2..0..1

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 10 2014

STATUS

approved

A251884

Number of (n+2)X(7+2) 0..4 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime

+10
1

676969, 2472269, 8113568, 64083601, 513228578, 3186483082, 27379339268, 220952120769, 1384444723597, 11996291910088, 97046849387176, 608493163905192, 5283161758946533, 42750489265921469, 268070866872601358

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

OFFSET

1,1

COMMENTS

Column 7 of A251885

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..76

EXAMPLE

Some solutions for n=1

..0..4..3..0..4..3..4..0..3....0..0..3..4..0..1..1..0..4

..2..0..3..4..0..3..0..4..1....3..3..1..1..0..1..1..3..1

..3..1..1..1..1..1..3..3..1....0..4..3..0..2..0..3..2..0

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 10 2014

STATUS

approved

A251877

Number of (n+2)X(n+2) 0..4 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime

+10
0

5495, 16857, 94046, 1036785, 17612152, 615536028, 27379339268, 1766107726171, 234631571183388, 36199087873602624, 9632688371523308181

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

OFFSET

1,1

COMMENTS

Diagonal of A251885

LINKS

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

EXAMPLE

Some solutions for n=3

..0..1..1..0..4....0..0..3..0..4....1..1..1..3..1....4..0..3..0..0

..3..1..1..3..3....4..0..1..4..0....0..4..3..0..4....0..4..3..0..4

..4..0..3..4..0....1..3..1..3..3....4..0..3..4..0....3..1..1..3..1

..0..4..3..0..4....0..4..3..0..0....3..1..1..3..1....2..0..3..4..0

..3..1..1..3..1....4..0..3..0..0....0..4..1..0..2....0..2..1..0..1

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 10 2014

STATUS

approved