A299340 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 8 king-move adjacent elements, with upper left element zero.

4, 26, 93, 357, 1399, 5513, 21642, 85000, 333982, 1312528, 5157620, 20267541, 79645105, 312982976, 1229932727, 4833285319, 18993441447, 74638863658, 293309650948, 1152624126059, 4529487480525, 17799607536492, 69947434367408

Offset

1,1

Comments

Column 3 of A299345.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -9*a(n-2) +3*a(n-3) +7*a(n-4) -34*a(n-5) +62*a(n-6) -54*a(n-7) +39*a(n-8) -89*a(n-9) +52*a(n-10) +47*a(n-11) +21*a(n-12) -33*a(n-13) -32*a(n-14) +16*a(n-15) +12*a(n-16) for n>18

Example

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

Crossrefs

Cf. A299345.

Sequence in context: A298190 A299084 A245457 * A299847 A118285 A101166

Adjacent sequences: A299337 A299338 A299339 * A299341 A299342 A299343

Keyword

nonn

Author

R. H. Hardin, Feb 07 2018

Status

approved