A253838 Number of (n+2)X(5+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

91296, 127376, 294870, 550535, 156876, 209862, 168884, 85994, 98010, 105807, 97464, 111967, 116598, 123855, 128600, 147622, 143446, 157728, 170206, 173129, 181512, 212428, 198020, 220903, 238078, 240784, 257584, 285985, 274432, 310773

Offset

1,1

Comments

Column 5 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>34

Example

Some solutions for n=2
..0..0..1..1..0..0..0....0..0..0..0..0..0..1....1..0..0..0..0..0..1
..0..0..0..1..1..1..1....0..0..1..0..1..0..0....1..0..1..1..1..1..1
..0..0..0..0..0..0..1....1..0..1..0..1..1..1....1..0..0..0..0..0..0
..1..1..1..1..1..0..1....0..0..1..1..0..0..0....0..0..0..1..1..1..1

Crossrefs

Sequence in context: A126165 A323753 A255985 * A253845 A253932 A205940

Adjacent sequences: A253835 A253836 A253837 * A253839 A253840 A253841

Keyword

nonn

Author

R. H. Hardin, Jan 16 2015

Status

approved