A298190 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero.

4, 26, 92, 354, 1385, 5450, 21362, 83805, 328854, 1290664, 5064904, 19876664, 78004135, 306122212, 1201352626, 4714619350, 18502172075, 72610411677, 284954178325, 1118281595938, 4388613371256, 17222788578148, 67589559640000

Offset

1,1

Comments

Column 3 of A298195.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -4*a(n-2) -2*a(n-3) +9*a(n-4) -26*a(n-5) +37*a(n-6) -19*a(n-7) +11*a(n-8) -62*a(n-9) -6*a(n-10) +50*a(n-11) +38*a(n-12) -20*a(n-13) -43*a(n-14) -2*a(n-15) +20*a(n-16) +8*a(n-17) for n>19

Example

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

Crossrefs

Cf. A298195.

Sequence in context: A102198 A100207 A172123 * A299084 A245457 A299340

Adjacent sequences: A298187 A298188 A298189 * A298191 A298192 A298193

Keyword

nonn

Author

R. H. Hardin, Jan 14 2018

Status

approved