A299847 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

4, 26, 93, 357, 1401, 5533, 21764, 85620, 336966, 1326498, 5221450, 20553311, 80905473, 318477196, 1253655191, 4934896919, 19425767155, 76467769656, 301008432722, 1184892401453, 4664221539453, 18360285559608, 72273600906104

Offset

1,1

Comments

Column 3 of A299852.

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) -31*a(n-5) +52*a(n-6) -51*a(n-7) +53*a(n-8) -100*a(n-9) +53*a(n-10) +65*a(n-11) +7*a(n-12) -48*a(n-13) -26*a(n-14) +18*a(n-15) +12*a(n-16) for n>18

Example

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

Crossrefs

Cf. A299852.

Sequence in context: A299084 A245457 A299340 * A118285 A101166 A299003

Adjacent sequences: A299844 A299845 A299846 * A299848 A299849 A299850

Keyword

nonn

Author

R. H. Hardin, Feb 20 2018

Status

approved