A302518 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

16, 9, 14, 48, 90, 199, 689, 2125, 5410, 13908, 39850, 114503, 312683, 845807, 2344052, 6547828, 18092168, 49718487, 137265089, 380242741, 1051385042, 2901539840, 8012628856, 22150069687, 61220830095, 169117170519, 467176484780

Offset

1,1

Comments

Row 5 of A302515.

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +3*a(n-3) +20*a(n-4) +7*a(n-5) -2*a(n-6) -6*a(n-7) -40*a(n-8) -6*a(n-9) -2*a(n-10) -2*a(n-11) +22*a(n-12) -5*a(n-13) for n>17

Example

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

Crossrefs

Cf. A302515.

Sequence in context: A278829 A066905 A302683 * A070567 A257796 A070688

Adjacent sequences: A302515 A302516 A302517 * A302519 A302520 A302521

Keyword

nonn

Author

R. H. Hardin, Apr 09 2018

Status

approved