A253508 - OEIS

A253508

Number of (n+2)X(6+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically

1172, 2340, 4248, 7396, 11740, 17888, 25988, 36632, 50248, 67508, 89120, 115940, 148936, 189208, 237992, 296668, 366768, 449984, 548176, 663380, 797816, 953896, 1134232, 1341644, 1579168, 1850064, 2157824, 2506180, 2899112, 3340856, 3835912

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

OFFSET

1,1

COMMENTS

Column 6 of A253510

LINKS

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

FORMULA

Empirical: a(n) = (1/15)*n^5 + (4/3)*n^4 + (37/3)*n^3 + (1004/3)*n^2 + (1238/5)*n - 772 for n>10

EXAMPLE

Some solutions for n=4

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

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

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

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

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

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

CROSSREFS

Sequence in context: A202487 A230946 A225234 * A235206 A302230 A302673

Adjacent sequences: A253505 A253506 A253507 * A253509 A253510 A253511

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 02 2015

STATUS

approved