A269015 Number of 5Xn binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.

0, 145, 1066, 14240, 109058, 1049588, 8134304, 69184207, 534525058, 4286305792, 32838001316, 255036784680, 1935580387968, 14746081110093, 110945210978202, 834598743197152, 6232287294972630, 46465158121063708, 344786403529703264

Offset

1,2

Comments

Row 5 of A269011.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +52*a(n-2) -424*a(n-3) -816*a(n-4) +6756*a(n-5) +1362*a(n-6) -38476*a(n-7) +19016*a(n-8) +82920*a(n-9) -70008*a(n-10) -50556*a(n-11) +50607*a(n-12) +9180*a(n-13) -10404*a(n-14)

Example

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

Crossrefs

Cf. A269011.

Sequence in context: A354669 A296972 A365204 * A234116 A232151 A264284

Adjacent sequences: A269012 A269013 A269014 * A269016 A269017 A269018

Keyword

nonn

Author

R. H. Hardin, Feb 17 2016

Status

approved