A268785 Number of nX4 binary arrays with some element plus some horizontally, vertically or antidiagonally adjacent neighbor totalling two exactly once.

5, 48, 302, 1714, 9085, 46195, 228384, 1105510, 5267662, 24786180, 115455033, 533317129, 2446323573, 11154503019, 50600348892, 228514035985, 1027932765869, 4607917805325, 20591918472965, 91765529043193, 407916504889146

Offset

1,1

Comments

Column 4 of A268789.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +19*a(n-2) +10*a(n-3) -122*a(n-4) -320*a(n-5) -295*a(n-6) +8*a(n-7) +176*a(n-8) +20*a(n-9) -98*a(n-10) -6*a(n-11) +43*a(n-12) -6*a(n-13) -11*a(n-14) +6*a(n-15) -a(n-16)

Example

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

Crossrefs

Cf. A268789.

Sequence in context: A212111 A359969 A215050 * A268736 A247769 A116431

Adjacent sequences: A268782 A268783 A268784 * A268786 A268787 A268788

Keyword

nonn

Author

R. H. Hardin, Feb 13 2016

Status

approved