A304053 Number of nX3 0..1 arrays with every element unequal to 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero.

1, 11, 6, 18, 32, 60, 124, 288, 598, 1266, 2910, 6362, 13924, 31578, 70292, 156670, 353098, 791762, 1776560, 3999190, 8991152, 20221266, 45520396, 102442546, 230580304, 519141320, 1168761696, 2631446768, 5925181452, 13341570650

Offset

1,2

Comments

Column 3 of A304058.

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +7*a(n-3) -3*a(n-4) -11*a(n-5) -21*a(n-6) -8*a(n-7) +13*a(n-8) +25*a(n-9) +22*a(n-10) +4*a(n-11) +3*a(n-12) -6*a(n-13) -6*a(n-14) -9*a(n-15) for n>18

Example

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

Crossrefs

Cf. A304058.

Sequence in context: A347518 A115943 A122088 * A190624 A241308 A356705

Adjacent sequences: A304050 A304051 A304052 * A304054 A304055 A304056

Keyword

nonn

Author

R. H. Hardin, May 05 2018

Status

approved