A298921 Number of nX5 0..1 arrays with every element equal to 1, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

0, 32, 3, 7, 9, 12, 17, 41, 42, 67, 109, 172, 277, 461, 722, 1167, 1889, 3052, 4937, 8001, 12922, 20907, 33829, 54732, 88557, 143301, 231842, 375127, 606969, 982092, 1589057, 2571161, 4160202, 6731347, 10891549, 17622892, 28514437, 46137341

Offset

1,2

Comments

Column 5 of A298924.

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +a(n-6) -a(n-7) -a(n-8) for n>11

Example

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

Crossrefs

Cf. A298924.

Sequence in context: A037932 A285417 A303328 * A070631 A070623 A249597

Adjacent sequences: A298918 A298919 A298920 * A298922 A298923 A298924

Keyword

nonn

Author

R. H. Hardin, Jan 29 2018

Status

approved