A269292 Number of 4Xn 0..3 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling three no more than once.

256, 29160, 1698732, 87559668, 4204943820, 193446959076, 8642330207532, 377958654569412, 16263720330382476, 690974658284107428, 29056221832723692012, 1211537520551702429316, 50159175757694154381132

Offset

1,1

Comments

Row 4 of A269289.

Links

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

Formula

Empirical: a(n) = 96*a(n-1) -3108*a(n-2) +40720*a(n-3) -265326*a(n-4) +931200*a(n-5) -1766452*a(n-6) +1678992*a(n-7) -622521*a(n-8) for n>12

Example

Some solutions for n=2
..1..1. .2..2. .0..2. .0..1. .0..0. .1..0. .2..2. .0..1. .3..1. .1..1
..3..1. .3..0. .0..2. .0..2. .3..2. .1..1. .3..2. .0..1. .3..0. .1..3
..0..0. .1..3. .2..0. .3..0. .2..0. .0..3. .3..0. .3..2. .2..3. .2..3
..3..3. .1..3. .3..2. .2..0. .1..1. .3..3. .1..0. .0..0. .2..0. .1..2

Crossrefs

Cf. A269289.

Sequence in context: A017212 A181243 A205634 * A205362 A206101 A221091

Adjacent sequences: A269289 A269290 A269291 * A269293 A269294 A269295

Keyword

nonn

Author

R. H. Hardin, Feb 21 2016

Status

approved