A303959 Number of nX6 0..1 arrays with every element unequal to 0, 1, 2 or 5 king-move adjacent elements, with upper left element zero.

32, 45, 119, 452, 1431, 4645, 14067, 44800, 144844, 468709, 1496959, 4796728, 15414618, 49584010, 159199225, 511105361, 1641588159, 5273933184, 16939978307, 54407120334, 174750169449, 561310287495, 1802939380101, 5790967286209

Offset

1,1

Comments

Column 6 of A303961.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +4*a(n-2) -4*a(n-3) +29*a(n-4) -23*a(n-5) -117*a(n-6) +69*a(n-7) -146*a(n-8) -43*a(n-9) +837*a(n-10) -263*a(n-11) -495*a(n-12) +796*a(n-13) -726*a(n-14) -281*a(n-15) +713*a(n-16) -607*a(n-17) +276*a(n-18) +37*a(n-19) -367*a(n-20) +479*a(n-21) -247*a(n-22) -63*a(n-23) +259*a(n-24) -142*a(n-25) +3*a(n-26) +36*a(n-27) -33*a(n-28) +10*a(n-29) +2*a(n-30) -3*a(n-31) +a(n-32) for n>38

Example

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

Crossrefs

Cf. A303961.

Sequence in context: A236324 A211813 A353234 * A304602 A305338 A316418

Adjacent sequences: A303956 A303957 A303958 * A303960 A303961 A303962

Keyword

nonn

Author

R. H. Hardin, May 03 2018

Status

approved