A281883 Number of n X 3 0..1 arrays with no element equal to more than four of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

0, 0, 68, 638, 4832, 35002, 241209, 1612568, 10566034, 68136376, 433938423, 2736019588, 17108229189, 106234294380, 655764472080, 4027264205666, 24622851384305, 149957156910166, 910104036599313, 5506462499669112

Offset

1,3

Comments

Column 3 of A281888.

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -17*a(n-2) -28*a(n-3) -122*a(n-4) +132*a(n-5) +368*a(n-6) +570*a(n-7) +171*a(n-8) -746*a(n-9) -979*a(n-10) -2038*a(n-11) -1625*a(n-12) -840*a(n-13) -784*a(n-14) for n>17.

Example

Some solutions for n=4
..0..0..1. .0..1..1. .0..1..0. .0..0..0. .0..1..1. .0..0..0. .0..0..1
..0..1..1. .1..1..1. .0..0..1. .1..1..1. .1..1..0. .1..0..0. .1..0..1
..1..1..0. .0..0..1. .1..0..0. .1..1..0. .0..1..0. .1..1..0. .1..1..1
..1..1..1. .1..0..1. .1..1..0. .0..1..0. .1..1..1. .1..0..1. .1..0..1

Crossrefs

Cf. A281888.

Sequence in context: A372401 A248467 A281565 * A282333 A244440 A166398

Adjacent sequences: A281880 A281881 A281882 * A281884 A281885 A281886

Keyword

nonn

Author

R. H. Hardin, Feb 01 2017

Status

approved