A305229 Number of nX7 0..1 arrays with every element unequal to 0, 1, 2, 3 or 8 king-move adjacent elements, with upper left element zero.

64, 719, 509, 1248, 5958, 26528, 135183, 656194, 3279365, 16250652, 81031953, 403509236, 2011945563, 10030039280, 50016127121, 249410319660, 1243788731837, 6202713557772, 30933122777137, 154265006485596, 769330468164179

Offset

1,1

Comments

Column 7 of A305230.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -8*a(n-2) -58*a(n-3) +109*a(n-4) +53*a(n-5) -164*a(n-6) +350*a(n-7) -839*a(n-8) -337*a(n-9) +2217*a(n-10) -1688*a(n-11) +1782*a(n-12) -123*a(n-13) -7364*a(n-14) +8415*a(n-15) -422*a(n-16) -4654*a(n-17) +8939*a(n-18) -8494*a(n-19) -1367*a(n-20) +5630*a(n-21) -3708*a(n-22) +2283*a(n-23) +562*a(n-24) -1497*a(n-25) +288*a(n-26) +112*a(n-27) -24*a(n-28) for n>35

Example

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

Crossrefs

Cf. A305230.

Sequence in context: A223963 A372844 A303726 * A304774 A316517 A304471

Adjacent sequences: A305226 A305227 A305228 * A305230 A305231 A305232

Keyword

nonn

Author

R. H. Hardin, May 27 2018

Status

approved