A251024 Number of (n+1)X(4+1) 0..3 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements.

6321, 23404, 51347, 119632, 257578, 563271, 1199576, 2590598, 5601754, 12305560, 27283810, 61222845, 138410707, 315015070, 719847225, 1649954072, 3788495903, 8709393619, 20035602376, 46111319584, 106149006168, 244393023772

Offset

1,1

Comments

Column 4 of A251028

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -25*a(n-2) +35*a(n-3) -7*a(n-4) -49*a(n-5) +77*a(n-6) -55*a(n-7) +20*a(n-8) -3*a(n-9) for n>14

Example

Some solutions for n=4
..0..0..1..2..3....0..0..0..1..0....0..0..0..0..2....0..2..2..2..3
..0..0..0..0..1....2..0..0..1..0....0..0..0..0..2....1..0..0..0..1
..2..2..2..2..2....2..0..0..1..0....0..0..0..0..2....1..0..0..0..1
..0..0..0..0..0....2..0..0..1..0....0..0..0..0..2....1..0..0..0..1
..3..3..3..3..1....3..1..1..1..0....2..2..1..1..1....2..0..0..0..1

Crossrefs

Sequence in context: A189344 A054560 A069428 * A213993 A252268 A292715

Adjacent sequences: A251021 A251022 A251023 * A251025 A251026 A251027

Keyword

nonn

Author

R. H. Hardin, Nov 29 2014

Status

approved