A296721 Number of nX4 0..1 arrays with each 1 adjacent to 0, 2 or 4 king-move neighboring 1s.

8, 57, 258, 1463, 8315, 44668, 246923, 1364492, 7488185, 41248981, 227181202, 1250158875, 6882921586, 37893304923, 208596893793, 1148368776132, 6321957544699, 34802982675152, 191595381104801, 1054758528503751

Offset

1,1

Comments

Column 4 of A296725.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +7*a(n-2) +31*a(n-3) -103*a(n-4) -134*a(n-5) -197*a(n-6) +354*a(n-7) +31*a(n-8) -17*a(n-9) -3*a(n-10) +404*a(n-11) +53*a(n-12) -162*a(n-13) +194*a(n-14) +92*a(n-15) -37*a(n-16) -24*a(n-17) -4*a(n-18)

Example

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

Crossrefs

Cf. A296725.

Sequence in context: A317694 A143570 A365303 * A283693 A297453 A096711

Adjacent sequences: A296718 A296719 A296720 * A296722 A296723 A296724

Keyword

nonn

Author

R. H. Hardin, Dec 19 2017

Status

approved