A253836 Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

8392, 17491, 52014, 127483, 135280, 201331, 233370, 230890, 276234, 303500, 315082, 363247, 374050, 400164, 441848, 473675, 511892, 560844, 599058, 645661, 682754, 733900, 767934, 814977, 878516, 924256, 991794, 1064491, 1093772

Offset

1,1

Comments

Column 3 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>36

Example

Some solutions for n=4
..0..0..1..1..1....0..1..0..0..1....0..0..0..0..1....0..1..0..0..1
..1..0..1..0..1....0..0..0..0..1....0..0..0..0..0....0..0..0..0..0
..1..0..1..0..0....0..0..0..0..1....1..1..1..1..0....0..0..0..0..0
..0..0..1..1..1....1..1..1..1..1....1..0..0..1..1....0..0..1..1..1
..1..1..1..1..1....1..1..1..1..0....0..1..1..1..0....1..1..1..1..1
..1..1..0..1..1....1..0..0..1..1....0..0..1..1..1....0..1..1..0..1

Crossrefs

Sequence in context: A337959 A139005 A252087 * A253843 A253930 A295469

Adjacent sequences: A253833 A253834 A253835 * A253837 A253838 A253839

Keyword

nonn

Author

R. H. Hardin, Jan 16 2015

Status

approved