A302679 Number of nX7 0..1 arrays with every element equal to 0, 1, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

21, 23, 94, 217, 661, 2013, 6311, 19497, 60253, 186797, 578385, 1790605, 5545571, 17172267, 53173813, 164661159, 509890659, 1578918645, 4889288817, 15140189411, 46883090855, 145178205375, 449559001303, 1392104734057, 4310792424591

Offset

1,1

Comments

Column 7 of A302680.

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +12*a(n-3) +14*a(n-4) +10*a(n-5) -9*a(n-6) -26*a(n-7) +2*a(n-8) +18*a(n-9) +6*a(n-10) -4*a(n-12) for n>19

Example

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

Crossrefs

Cf. A302680.

Sequence in context: A270108 A335189 A304269 * A302514 A303313 A257642

Adjacent sequences: A302676 A302677 A302678 * A302680 A302681 A302682

Keyword

nonn

Author

R. H. Hardin, Apr 11 2018

Status

approved