A299216 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.

1, 12, 22, 81, 307, 1201, 5066, 21292, 90443, 387999, 1664166, 7150000, 30748156, 132241210, 568885960, 2447521291, 10530203290, 45306613634, 194935607759, 838730766281, 3608741827447, 15527073831286, 66807269901814

Offset

1,2

Comments

Column 3 of A299221.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +7*a(n-2) +2*a(n-3) -27*a(n-4) -27*a(n-5) +3*a(n-6) -101*a(n-7) -69*a(n-8) +201*a(n-9) +105*a(n-10) -137*a(n-11) -32*a(n-12) +47*a(n-13) +21*a(n-14) -17*a(n-15) +37*a(n-16) +33*a(n-17) -12*a(n-18) -4*a(n-19) for n>20

Example

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

Crossrefs

Cf. A299221.

Sequence in context: A115703 A014633 A298323 * A227072 A066458 A246342

Adjacent sequences: A299213 A299214 A299215 * A299217 A299218 A299219

Keyword

nonn

Author

R. H. Hardin, Feb 05 2018

Status

approved