A298215 Number of nX2 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero.

2, 7, 13, 29, 73, 157, 353, 869, 1993, 4557, 10993, 25909, 60313, 144157, 343233, 809349, 1929833, 4610157, 10953873, 26130389, 62487353, 149069757, 356015713, 851720229, 2035889673, 4867238157, 11647445553, 27867454069, 66671141593

Offset

1,1

Comments

Column 2 of A298221.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -5*a(n-2) +10*a(n-3) -24*a(n-4) +16*a(n-5) for n>6

Example

Some solutions for n=7
..0..1. .0..1. .0..1. .0..1. .0..0. .0..0. .0..0. .0..1. .0..0. .0..0
..0..0. .0..0. .0..0. .1..0. .0..1. .0..1. .1..1. .1..1. .1..0. .1..1
..0..0. .0..0. .0..0. .1..0. .0..0. .1..1. .0..0. .0..0. .1..1. .0..1
..1..0. .1..0. .0..1. .1..0. .0..0. .1..1. .1..0. .0..1. .1..1. .0..0
..0..0. .1..1. .1..1. .0..1. .0..0. .1..1. .1..1. .0..0. .1..0. .1..1
..1..1. .1..1. .0..0. .1..0. .0..1. .1..0. .0..0. .1..1. .1..1. .0..1
..0..1. .0..1. .0..1. .0..1. .1..1. .1..1. .1..1. .0..0. .0..0. .1..1

Crossrefs

Cf. A298221.

Sequence in context: A141777 A297883 A215206 * A127396 A294839 A231478

Adjacent sequences: A298212 A298213 A298214 * A298216 A298217 A298218

Keyword

nonn

Author

R. H. Hardin, Jan 15 2018

Status

approved