A305519 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.

8, 128, 1482, 16480, 186237, 2102155, 23747613, 268359015, 3032800805, 34276734724, 387403233851, 4378561680838, 49488189296483, 559335597308662, 6321843211366946, 71452123170486735, 807581990796222475

Offset

1,1

Comments

Column 4 of A305523.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) +31*a(n-2) -117*a(n-3) -700*a(n-4) -714*a(n-5) +564*a(n-6) +2057*a(n-7) +1648*a(n-8) -216*a(n-9) -1318*a(n-10) -705*a(n-11) -6*a(n-12) -165*a(n-13) -278*a(n-14) -212*a(n-15) for n>17

Example

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

Crossrefs

Cf. A305523.

Sequence in context: A105094 A208711 A242355 * A316956 A036294 A298966

Adjacent sequences: A305516 A305517 A305518 * A305520 A305521 A305522

Keyword

nonn

Author

R. H. Hardin, Jun 04 2018

Status

approved