A255042 Number of (7+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

1640073, 794663, 425667, 310872, 427492, 546968, 813888, 1126442, 1716252, 2122356, 3224968, 4466816, 6952968, 8780004, 13664412, 18427768, 28625632, 35876032, 54851644, 73948452, 113063376, 142277720, 217554104, 293137028

Offset

1,1

Comments

Row 7 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>36

Example

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

Crossrefs

Cf. A255036

Sequence in context: A015334 A015377 A296450 * A255035 A256953 A205985

Adjacent sequences: A255039 A255040 A255041 * A255043 A255044 A255045

Keyword

nonn

Author

R. H. Hardin, Feb 13 2015

Status

approved