A250969 Number of (n+1)X(4+1) 0..1 arrays with no 2X2 subblock having the sum of its diagonal elements less than the absolute difference of its antidiagonal elements

604, 12281, 249921, 5089900, 103684186, 2112130109, 43025963570, 876479703950, 17854730951799, 363717955042320, 7409282841342444, 150934183848595064, 3074673806193093731, 62634048639412217021, 1275915526747412367745

Offset

1,1

Comments

Column 4 of A250973

Links

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

Formula

Empirical: a(n) = 32*a(n-1) -322*a(n-2) +2227*a(n-3) -12086*a(n-4) +47762*a(n-5) -142463*a(n-6) +321616*a(n-7) -516143*a(n-8) +570208*a(n-9) -437734*a(n-10) +223620*a(n-11) -61118*a(n-12) +2048*a(n-13) -581*a(n-14) +2307*a(n-15) -712*a(n-16) +60*a(n-17)

Example

Some solutions for n=2
..1..0..1..1..0....0..1..1..0..1....1..0..1..0..0....0..1..1..0..1
..1..1..0..1..0....1..1..1..0..1....1..0..1..0..0....1..0..1..1..0
..0..1..0..1..1....0..0..0..1..1....0..1..0..0..0....0..1..0..0..1

Crossrefs

Sequence in context: A321269 A234343 A234338 * A265244 A228036 A274765

Adjacent sequences: A250966 A250967 A250968 * A250970 A250971 A250972

Keyword

nonn

Author

R. H. Hardin, Nov 29 2014

Status

approved