A256953 Number of (n+2)X(7+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 and vertically

1640073, 6268245, 12037534, 18040804, 26587024, 38735508, 56306098, 77953860, 108710066, 143899574, 191489068, 248887210, 328813654, 421350126, 546389574, 698911558, 922595390, 1188517170, 1572350918, 2050531494, 2786854414

Offset

1,1

Comments

Column 7 of A256954

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>37

Example

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

Crossrefs

Cf. A256954

Sequence in context: A296450 A255042 A255035 * A205985 A258953 A342429

Adjacent sequences: A256950 A256951 A256952 * A256954 A256955 A256956

Keyword

nonn

Author

R. H. Hardin, Apr 13 2015

Status

approved