A252447 -id:A252447

A252441

Number of (n+2)X(1+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum less than 3

+10
1

339, 1677, 9062, 48658, 259257, 1382414, 7389034, 39505162, 211085078, 1127932908, 6027956200, 32214103236, 172151883337, 919985137034, 4916449385076, 26273721744552, 140407834691944, 750345450048779

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

OFFSET

1,1

COMMENTS

Column 1 of A252447

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +8*a(n-2) +41*a(n-3) +68*a(n-4) +33*a(n-5) -207*a(n-6) -543*a(n-7) -471*a(n-8) -30*a(n-9) +202*a(n-10) -352*a(n-11) -548*a(n-12) +37*a(n-13) +640*a(n-14) +670*a(n-15) +347*a(n-16) +235*a(n-17) -124*a(n-18) -97*a(n-19) -106*a(n-20) -51*a(n-21) -56*a(n-22) +8*a(n-23) +4*a(n-24) +8*a(n-25) +4*a(n-27) for n>29

EXAMPLE

Some solutions for n=4

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

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

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

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

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

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

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 17 2014

STATUS

approved

A252442

Number of (n+2)X(2+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum less than 3

+10
1

1677, 13777, 131202, 1149386, 10157387, 91120655, 812431496, 7240016321, 64612694441, 576415113903, 5141552056964, 45867546386571, 409176329077618, 3650126535107922, 32561858854371260, 290476235647305936

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

OFFSET

1,1

COMMENTS

Column 2 of A252447

LINKS

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

R. H. Hardin, Empirical recurrence of order 65

FORMULA

Empirical recurrence of order 65 (see link above)

EXAMPLE

Some solutions for n=3

..0..0..0..0....0..0..1..0....0..1..1..0....0..2..0..0....1..0..0..0

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

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

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

..1..0..1..0....0..0..0..1....1..0..1..0....1..0..1..1....0..0..0..2

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 17 2014

STATUS

approved

A252443

Number of (n+2)X(3+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum less than 3

+10
1

9062, 131202, 2091042, 30491181, 454665875, 6833055569, 102043139454, 1526189064960, 22840267867281, 341629869985739, 5110403797875856, 76451550737884426, 1143662281602106798, 17108429658444615062

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

OFFSET

1,1

COMMENTS

Column 3 of A252447

LINKS

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

EXAMPLE

Some solutions for n=2

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

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

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

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

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 17 2014

STATUS

approved

A252444

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

+10
1

48658, 1149386, 30491181, 732217984, 17918363933, 443610072768, 10912522669489, 268546526289340, 6614897944285757, 162882261040491536, 4010626018505396919, 98759585707049584445, 2431863109516879847304

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

OFFSET

1,1

COMMENTS

Column 4 of A252447

LINKS

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

EXAMPLE

Some solutions for n=1

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

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

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

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 17 2014

STATUS

approved

A252445

Number of (n+2)X(5+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum less than 3

+10
1

259257, 10157387, 454665875, 17918363933, 727114790171, 29918663096948, 1218437834167018, 49699856516684819, 2030235758746008203, 82861978509545725188, 3382085380142844348363, 138065021791896705312517

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

OFFSET

1,1

COMMENTS

Column 5 of A252447

LINKS

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

EXAMPLE

Some solutions for n=1

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

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

..0..1..0..1..0..1..1....1..1..0..0..0..1..0....1..0..0..0..0..0..2

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 17 2014

STATUS

approved

A252446

Number of (n+2)X(6+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum less than 3

+10
1

1382414, 91120655, 6833055569, 443610072768, 29918663096948, 2043376569066322, 137982401378538869, 9340499643291912060, 633028341305650810247, 42861685282180912578759, 2902598081287338693816103

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

OFFSET

1,1

COMMENTS

Column 6 of A252447

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..81

EXAMPLE

Some solutions for n=1

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

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

..0..1..0..1..0..0..0..0....0..0..0..1..1..0..1..0....0..1..0..0..0..0..2..0

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 17 2014

STATUS

approved