A253839 Number of (n+2)X(6+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

263476, 308576, 654021, 1139506, 237202, 295098, 225776, 103499, 121541, 121166, 116836, 127015, 140669, 134619, 147544, 162628, 159254, 167587, 193122, 178905, 199064, 221897, 209560, 227375, 255465, 238491, 271541, 287915, 281716, 308658

Offset

1,1

Comments

Column 6 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..0..1..1..1..0....0..0..0..0..1..1..1..1....0..0..0..1..0..0..0..1
..1..0..1..1..1..1..1..1....1..1..0..0..0..0..0..1....0..0..0..1..0..1..1..0
..0..1..0..0..0..1..0..1....0..1..0..1..1..1..0..1....1..0..0..1..0..0..0..0

Crossrefs

Sequence in context: A170801 A340907 A253846 * A253933 A237778 A123138

Adjacent sequences: A253836 A253837 A253838 * A253840 A253841 A253842

Keyword

nonn

Author

R. H. Hardin, Jan 16 2015

Status

approved