A299130 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

1, 13, 30, 149, 576, 2621, 12495, 59426, 291819, 1434777, 7089514, 35139759, 174262279, 865022922, 4295106017, 21330145045, 105941879250, 526209580143, 2613748830983, 12983012681014, 64489686157037, 320337024303633

Offset

1,2

Comments

Column 3 of A299135.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +7*a(n-2) -27*a(n-3) -65*a(n-4) +97*a(n-5) +118*a(n-6) -276*a(n-7) +110*a(n-8) +516*a(n-9) -226*a(n-10) -372*a(n-11) -12*a(n-12) for n>14

Example

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

Crossrefs

Cf. A299135.

Sequence in context: A329950 A183445 A296124 * A156532 A227435 A046414

Adjacent sequences: A299127 A299128 A299129 * A299131 A299132 A299133

Keyword

nonn

Author

R. H. Hardin, Feb 03 2018

Status

approved