A268777 Number of n X 4 binary arrays with some element plus some horizontally, vertically, diagonally or antidiagonally adjacent neighbor totalling two no more than once.

13, 65, 316, 1462, 6383, 27531, 115391, 478849, 1957904, 7940136, 31916445, 127480373, 506131101, 1999695453, 7865869056, 30823236470, 120372357259, 468663337303, 1819741296607, 7048393305965, 27239539562644, 105056982554032

Offset

1,1

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) - 32*a(n-3) - 47*a(n-4) + 40*a(n-5) + 38*a(n-6) - 12*a(n-7) - 9*a(n-8).

Empirical g.f.: x*(13 + 13*x - 74*x^2 - 36*x^3 + 66*x^4 + 26*x^5 - 21*x^6 - 9*x^7) / (1 - 2*x - 7*x^2 + 2*x^3 + 3*x^4)^2. - Colin Barker, Jan 15 2019

Example

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

Crossrefs

Column 4 of A268781.

Sequence in context: A067160 A147067 A147075 * A109727 A041320 A058380

Adjacent sequences: A268774 A268775 A268776 * A268778 A268779 A268780

Keyword

nonn

Author

R. H. Hardin, Feb 13 2016

Status

approved