A297684 Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 1 or 4 neighboring 1s.

16, 98, 742, 4633, 32911, 221420, 1519630, 10322924, 70546581, 480682141, 3279483836, 22360879158, 152513668108, 1040062673807, 7093214269529, 48373908268204, 329903456068580, 2249876994245104, 15343785763900111

Offset

1,1

Comments

Row 4 of A297682.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +20*a(n-2) +60*a(n-3) +184*a(n-4) +57*a(n-5) -73*a(n-6) -458*a(n-7) +105*a(n-8) +215*a(n-9) +380*a(n-10) -574*a(n-11) -435*a(n-12) +162*a(n-13) -270*a(n-14) -87*a(n-15) +32*a(n-16) +8*a(n-17)

Example

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

Crossrefs

Cf. A297682.

Sequence in context: A122102 A214612 A283545 * A344866 A322722 A014762

Adjacent sequences: A297681 A297682 A297683 * A297685 A297686 A297687

Keyword

nonn

Author

R. H. Hardin, Jan 03 2018

Status

approved