A253840 Number of (n+2)X(7+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

709704, 697720, 1364704, 2282367, 350208, 427510, 262418, 145955, 159924, 165378, 151496, 166465, 184418, 173844, 187098, 210280, 195700, 212600, 237946, 221027, 242064, 271568, 250134, 276274, 302350, 286349, 315658, 340910, 325612, 359818

Offset

1,1

Comments

Column 7 of A253841

Links

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

R. H. Hardin, polynomial of degree 4 plus a quasipolynomial of degree 2 with period 24

Formula

Empirical: a(n) = 2*a(n-1) -a(n-2) +2*a(n-6) -4*a(n-7) +3*a(n-8) -2*a(n-9) +a(n-10) -a(n-12) +2*a(n-13) -3*a(n-14) +4*a(n-15) -2*a(n-16) +a(n-20) -2*a(n-21) +a(n-22) for n>35

Example

Some solutions for n=1
..0..0..0..1..1..0..0..0..1....0..0..1..0..1..1..0..0..0
..0..0..0..0..0..1..1..1..1....0..0..1..0..1..1..1..1..1
..1..0..1..1..0..0..0..1..0....0..0..1..1..0..0..1..1..1

Crossrefs

Sequence in context: A251378 A342796 A253847 * A253934 A083613 A284166

Adjacent sequences: A253837 A253838 A253839 * A253841 A253842 A253843

Keyword

nonn

Author

R. H. Hardin, Jan 16 2015

Status

approved