A299809 Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

3, 4, 12, 43, 91, 519, 1721, 5886, 24858, 89458, 331545, 1293081, 4800200, 18085436, 68906303, 258751342, 977403762, 3699805618, 13947688934, 52692144086, 199113543247, 751576314916, 2838921851835, 10723095436605, 40491350276075

Offset

1,1

Comments

Column 3 of A299814.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +3*a(n-2) +17*a(n-3) -59*a(n-4) -28*a(n-5) -32*a(n-6) +159*a(n-7) +115*a(n-8) +5*a(n-9) -25*a(n-10) -90*a(n-11) -105*a(n-12) -175*a(n-13) +66*a(n-14) +5*a(n-15) +8*a(n-16) +6*a(n-17) for n>18

Example

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

Crossrefs

Cf. A299814.

Sequence in context: A101716 A360992 A217477 * A109771 A052626 A336687

Adjacent sequences: A299806 A299807 A299808 * A299810 A299811 A299812

Keyword

nonn

Author

R. H. Hardin, Feb 19 2018

Status

approved