A302685 Number of 7Xn 0..1 arrays with every element equal to 0, 1, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

64, 22, 29, 121, 257, 1125, 6311, 25139, 96728, 439233, 1942666, 8017639, 34024545, 148137877, 632641084, 2682460593, 11495724321, 49301780598, 210361660516, 898372105583, 3844885757451, 16440103793864, 70240799575385

Offset

1,1

Comments

Row 7 of A302680.

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +35*a(n-3) +80*a(n-4) +23*a(n-5) -141*a(n-6) -484*a(n-7) -692*a(n-8) +387*a(n-9) -71*a(n-10) +54*a(n-11) +3416*a(n-12) +397*a(n-13) -1793*a(n-14) +2391*a(n-15) -3515*a(n-16) +596*a(n-17) +624*a(n-18) +213*a(n-19) -249*a(n-20) +2769*a(n-21) +540*a(n-22) +1022*a(n-23) +146*a(n-24) -212*a(n-25) -441*a(n-26) -128*a(n-27) +44*a(n-28) +9*a(n-29) -73*a(n-30) -6*a(n-31) for n>38

Example

Some solutions for n=5
..0..0..0..1..0. .0..1..1..1..0. .0..1..1..1..0. .0..0..0..1..0
..0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0
..0..1..0..1..0. .0..0..0..1..0. .0..1..0..1..0. .0..1..1..1..0
..0..0..0..1..0. .0..1..0..1..0. .0..1..1..1..0. .0..1..0..1..0
..0..1..0..1..0. .0..1..1..1..0. .0..1..0..1..0. .0..1..0..1..0
..0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0
..0..1..0..0..0. .0..1..0..1..0. .0..1..0..1..0. .0..1..0..1..0

Crossrefs

Cf. A302680.

Sequence in context: A302894 A303629 A302520 * A281721 A303319 A275469

Adjacent sequences: A302682 A302683 A302684 * A302686 A302687 A302688

Keyword

nonn

Author

R. H. Hardin, Apr 11 2018

Status

approved