A302961 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

8, 105, 786, 6206, 49521, 395493, 3157171, 25208524, 201291251, 1607313882, 12834468946, 102483891605, 818339663167, 6534489434899, 52178280478900, 416646642993447, 3326948061363744, 26565877137213190, 212130102108362955

Offset

1,1

Comments

Column 4 of A302965.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -7*a(n-2) -65*a(n-3) -84*a(n-4) +100*a(n-5) +541*a(n-6) +1363*a(n-7) -386*a(n-8) -2958*a(n-9) -6187*a(n-10) +2238*a(n-11) +4139*a(n-12) +7410*a(n-13) -4494*a(n-14) +2183*a(n-15) -3163*a(n-16) +1920*a(n-17) -1968*a(n-18) +256*a(n-19) for n>20

Example

Some solutions for n=5
..0..1..0..0. .0..0..1..0. .0..0..1..0. .0..1..0..1. .0..0..1..0
..0..1..0..0. .0..0..1..0. .1..0..1..1. .0..1..0..0. .0..1..0..0
..1..1..0..0. .0..0..1..1. .1..1..1..0. .0..1..0..1. .1..1..0..1
..1..1..0..0. .1..1..0..1. .1..0..1..0. .1..1..0..1. .1..0..0..0
..0..0..1..1. .0..1..0..0. .0..1..0..0. .1..0..1..1. .0..1..1..0

Crossrefs

Cf. A302965.

Sequence in context: A119934 A247537 A302261 * A302804 A303465 A239400

Adjacent sequences: A302958 A302959 A302960 * A302962 A302963 A302964

Keyword

nonn

Author

R. H. Hardin, Apr 16 2018

Status

approved