A299003 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero.

4, 26, 94, 372, 1510, 6105, 24546, 98995, 399424, 1610936, 6496983, 26205472, 105698076, 426321495, 1719528280, 6935574134, 27974034790, 112830828296, 455093402265, 1835579965589, 7403653180460, 29861995650489, 120445781051920

Offset

1,1

Comments

Column 3 of A299008.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -4*a(n-2) +5*a(n-3) -16*a(n-4) -19*a(n-5) +35*a(n-6) -5*a(n-7) +54*a(n-8) -94*a(n-9) +3*a(n-11) +74*a(n-12) +33*a(n-13) -21*a(n-14) -17*a(n-15) -8*a(n-16) -11*a(n-17) -4*a(n-18) for n>19

Example

Some solutions for n=7
..0..1..1. .0..0..1. .0..0..0. .0..1..0. .0..0..1. .0..0..0. .0..1..0
..0..1..0. .1..1..1. .1..1..1. .1..0..1. .1..0..1. .0..1..1. .1..0..1
..0..1..0. .1..0..1. .0..0..1. .0..1..1. .1..0..1. .1..0..0. .0..0..0
..1..0..0. .1..0..1. .0..1..0. .0..0..0. .0..0..1. .0..1..1. .1..1..1
..0..1..0. .0..1..0. .1..1..0. .1..0..0. .1..0..1. .1..0..0. .0..0..0
..0..1..1. .0..0..0. .1..0..0. .1..0..0. .0..1..1. .0..1..1. .0..0..0
..0..1..0. .0..1..1. .0..1..1. .1..1..1. .1..0..1. .0..1..0. .1..1..1

Crossrefs

Cf. A299008.

Sequence in context: A299847 A118285 A101166 * A299670 A299748 A300262

Adjacent sequences: A299000 A299001 A299002 * A299004 A299005 A299006

Keyword

nonn

Author

R. H. Hardin, Jan 31 2018

Status

approved