A316515 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 3, 7 or 8 king-move adjacent elements, with upper left element zero.

16, 120, 174, 619, 2995, 11977, 48677, 201771, 826524, 3410229, 14060965, 57930710, 238839969, 984504319, 4058151550, 16728520173, 68956735361, 284248758531, 1171712068704, 4829948227186, 19909686588334, 82070353079883

Offset

1,1

Comments

Column 5 of A316518.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -4*a(n-2) +8*a(n-3) -34*a(n-4) +39*a(n-5) -54*a(n-6) +102*a(n-7) -71*a(n-8) +15*a(n-9) -21*a(n-10) +2*a(n-11) +32*a(n-12) -63*a(n-13) +115*a(n-14) -97*a(n-15) +30*a(n-16) -13*a(n-17) +22*a(n-18) -26*a(n-19) +5*a(n-20) +22*a(n-21) -18*a(n-22) +5*a(n-23) +2*a(n-24) -2*a(n-25) for n>28

Example

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

Crossrefs

Cf. A316518.

Sequence in context: A303724 A305227 A304772 * A304469 A316286 A306050

Adjacent sequences: A316512 A316513 A316514 * A316516 A316517 A316518

Keyword

nonn

Author

R. H. Hardin, Jul 05 2018

Status

approved