A298391 Number of nX3 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

1, 7, 15, 29, 63, 167, 473, 1205, 3161, 8399, 22021, 58279, 153851, 405489, 1070981, 2826361, 7458763, 19688757, 51962947, 137149575, 361994337, 955427345, 2521739769, 6655820967, 17567183369, 46366440203, 122378424487, 323002621161

Offset

1,2

Comments

Column 3 of A298396.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -3*a(n-2) +a(n-3) -11*a(n-4) +12*a(n-5) -4*a(n-6) +19*a(n-8) -20*a(n-9) +29*a(n-10) -65*a(n-11) +63*a(n-12) -34*a(n-13) +10*a(n-15) for n>17

Example

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

Crossrefs

Cf. A298396.

Sequence in context: A302125 A006188 A198589 * A299509 A299309 A300110

Adjacent sequences: A298388 A298389 A298390 * A298392 A298393 A298394

Keyword

nonn

Author

R. H. Hardin, Jan 18 2018

Status

approved