A298143 Number of nX5 0..1 arrays with every element equal to 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.

0, 8, 1, 13, 34, 57, 73, 174, 350, 800, 1605, 3376, 7079, 15234, 32785, 69934, 148910, 317566, 680619, 1456297, 3114591, 6655750, 14238344, 30459198, 65161385, 139374566, 298140140, 637775747, 1364330204, 2918587246, 6243529255

Offset

1,2

Comments

Column 5 of A298146.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +a(n-2) -a(n-3) +6*a(n-4) -9*a(n-5) -15*a(n-6) +a(n-7) -11*a(n-8) +12*a(n-9) +38*a(n-10) +43*a(n-11) +14*a(n-12) -38*a(n-13) -61*a(n-14) -5*a(n-15) -3*a(n-17) +17*a(n-18) +19*a(n-19) -38*a(n-20) -62*a(n-21) +16*a(n-22) +37*a(n-23) -7*a(n-24) -a(n-25) +50*a(n-26) +35*a(n-27) +2*a(n-28) -15*a(n-29) -2*a(n-30) -3*a(n-32) -2*a(n-33) -2*a(n-34) for n>40

Example

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

Crossrefs

Cf. A298146.

Sequence in context: A349142 A322079 A124906 * A181762 A209684 A173988

Adjacent sequences: A298140 A298141 A298142 * A298144 A298145 A298146

Keyword

nonn

Author

R. H. Hardin, Jan 13 2018

Status

approved