A298439 Number of nX3 0..1 arrays with every element equal to 0, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

1, 1, 11, 2, 27, 36, 86, 162, 368, 727, 1536, 3227, 6657, 14037, 29089, 61102, 127035, 266162, 554714, 1160052, 2421034, 5058677, 10563272, 22064711, 46083287, 96250175, 201033571, 419875536, 876978777, 1831656308, 3825692016, 7990395794

Offset

1,3

Comments

Column 3 of A298444.

Links

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

Formula

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

Example

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

Crossrefs

Cf. A298444.

Sequence in context: A051309 A077344 A364697 * A095157 A110767 A089365

Adjacent sequences: A298436 A298437 A298438 * A298440 A298441 A298442

Keyword

nonn

Author

R. H. Hardin, Jan 19 2018

Status

approved