A282155 Number of nX2 0..2 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

0, 0, 1, 82, 1599, 20256, 217361, 2130206, 19642211, 173364188, 1480679925, 12326158938, 100519162375, 805975115800, 6371588959001, 49768503975062, 384745225377195, 2947749198113620, 22407054537298493, 169141844731289554

Offset

1,4

Comments

Column 2 of A282159.

Links

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

Formula

Empirical: a(n) = 21*a(n-1) -159*a(n-2) +559*a(n-3) -1332*a(n-4) +3408*a(n-5) -4888*a(n-6) +8256*a(n-7) -9024*a(n-8) +8512*a(n-9) -6912*a(n-10) +3072*a(n-11) -512*a(n-12)

Example

Some solutions for n=4
..0..1. .0..1. .0..1. .0..0. .0..1. .0..1. .0..0. .0..1. .0..1. .0..0
..0..2. .1..1. .2..0. .0..1. .0..2. .0..0. .0..1. .2..1. .1..2. .1..2
..0..1. .0..2. .1..0. .2..0. .0..1. .1..2. .0..2. .0..1. .0..1. .0..2
..2..0. .1..1. .2..0. .0..1. .2..2. .0..0. .1..0. .2..2. .2..1. .2..1

Crossrefs

Cf. A282159.

Sequence in context: A160154 A093282 A085439 * A280857 A281603 A234253

Adjacent sequences: A282152 A282153 A282154 * A282156 A282157 A282158

Keyword

nonn

Author

R. H. Hardin, Feb 07 2017

Status

approved