A256948 Number of (n+2)X(2+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

2554, 13349, 66542, 262251, 844499, 2396710, 6268245, 15240141, 34366037, 73532563, 151376143, 300641702, 577321492, 1080395302, 1979809481, 3555813611, 6272004915, 10905756945, 18725699038, 31765068089, 53317281722, 88726986314

Offset

1,1

Comments

Column 2 of A256954

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -13*a(n-2) +14*a(n-3) -13*a(n-4) +a(n-5) +42*a(n-6) -58*a(n-7) +36*a(n-8) -46*a(n-9) -11*a(n-10) +110*a(n-11) -129*a(n-12) +178*a(n-13) -64*a(n-14) -139*a(n-15) +99*a(n-16) -198*a(n-17) +230*a(n-18) -37*a(n-19) +105*a(n-20) -130*a(n-21) +155*a(n-22) -101*a(n-23) -134*a(n-24) +232*a(n-25) -533*a(n-26) +202*a(n-27) +452*a(n-28) +96*a(n-29) -732*a(n-30) +309*a(n-31) +761*a(n-32) -681*a(n-33) -702*a(n-34) +688*a(n-35) +552*a(n-36) -938*a(n-37) -12*a(n-38) +892*a(n-39) -172*a(n-40) -652*a(n-41) +252*a(n-42) +324*a(n-43) -296*a(n-44) -112*a(n-45) +192*a(n-46) +56*a(n-47) -80*a(n-48) -16*a(n-49) +16*a(n-50) for n>63

Example

Some solutions for n=3
..1..1..0..0....0..0..0..0....0..1..1..0....0..1..1..1....0..0..0..1
..0..0..1..1....0..0..1..0....0..0..1..0....0..0..0..1....1..0..0..1
..0..0..1..1....1..0..1..0....1..0..0..1....0..0..1..1....0..0..1..1
..1..1..1..0....0..1..1..0....0..1..0..0....1..1..1..1....0..1..0..1
..0..0..0..0....0..1..1..0....1..1..1..1....0..0..0..1....0..1..0..1

Crossrefs

Cf. A256954

Sequence in context: A252685 A255030 A255037 * A202587 A125492 A309042

Adjacent sequences: A256945 A256946 A256947 * A256949 A256950 A256951

Keyword

nonn

Author

R. H. Hardin, Apr 13 2015

Status

approved