A299329 Number of nX3 0..1 arrays with every element equal to 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

0, 3, 8, 36, 173, 858, 4258, 21386, 107465, 541047, 2725498, 13733762, 69215100, 348852964, 1758324488, 8862635135, 44671460074, 225164071583, 1134929377517, 5720565544510, 28834291127949, 145338167739511, 732571679461791

Offset

1,2

Comments

Column 3 of A299334.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +10*a(n-2) -13*a(n-3) -53*a(n-4) -25*a(n-5) +57*a(n-6) +53*a(n-7) +a(n-8) +16*a(n-9) +10*a(n-10) -15*a(n-11) -4*a(n-12) for n>14

Example

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

Crossrefs

Cf. A299334.

Sequence in context: A148919 A087905 A295103 * A362362 A020111 A367640

Adjacent sequences: A299326 A299327 A299328 * A299330 A299331 A299332

Keyword

nonn

Author

R. H. Hardin, Feb 07 2018

Status

approved