A255041 Number of (6+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the central row and central column minus the two minimums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally

516998, 407885, 346115, 301745, 427420, 553864, 819368, 1126316, 1771048, 2376784, 3556404, 4938968, 7676188, 10266312, 15245496, 20807252, 31244896, 41996068, 61274240, 83381440, 124390140, 167494504, 244118508, 331497864

Offset

1,1

Comments

Row 6 of A255036

Links

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

Formula

Empirical: a(n) = 2*a(n-1) -2*a(n-3) +7*a(n-4) -11*a(n-5) -2*a(n-6) +12*a(n-7) -12*a(n-8) +9*a(n-9) +12*a(n-10) -16*a(n-11) -4*a(n-12) +14*a(n-13) -16*a(n-14) +16*a(n-16) -8*a(n-17) for n>34

Example

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

Crossrefs

Cf. A255036

Sequence in context: A087096 A072959 A048527 * A255034 A256952 A234173

Adjacent sequences: A255038 A255039 A255040 * A255042 A255043 A255044

Keyword

nonn

Author

R. H. Hardin, Feb 13 2015

Status

approved