A299670 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

4, 26, 94, 372, 1512, 6133, 24742, 100035, 404608, 1636222, 6616385, 26756052, 108199516, 437548895, 1769407046, 7155326538, 28935512224, 117012660592, 473188897749, 1913534302589, 7738164499878, 31292456968931, 126543945261462

Offset

1,1

Comments

Column 3 of A299675.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -3*a(n-2) -12*a(n-4) -15*a(n-5) +20*a(n-6) +17*a(n-7) +32*a(n-8) -64*a(n-9) -5*a(n-10) +25*a(n-11) +77*a(n-12) +11*a(n-13) -27*a(n-14) -21*a(n-15) -14*a(n-16) -13*a(n-17) -4*a(n-18) for n>19

Example

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

Crossrefs

Cf. A299675.

Sequence in context: A118285 A101166 A299003 * A299748 A300262 A359254

Adjacent sequences: A299667 A299668 A299669 * A299671 A299672 A299673

Keyword

nonn

Author

R. H. Hardin, Feb 16 2018

Status

approved