A295778 Number of nX5 0..1 arrays with each 1 adjacent to 0 or 2 king-move neighboring 1s.

13, 123, 665, 5263, 37897, 262707, 1905471, 13577504, 96726819, 692170604, 4940333676, 35278772122, 252010713334, 1799646642508, 12852977396156, 91796379668972, 655591261804564, 4682182568641239, 33439719466609663

Offset

1,1

Comments

Column 5 of A295781.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +2*a(n-2) -10*a(n-3) -408*a(n-4) +303*a(n-5) +1027*a(n-6) +905*a(n-7) +128*a(n-8) -5240*a(n-9) -261*a(n-10) +3150*a(n-11) -1753*a(n-12) +522*a(n-13) +691*a(n-14) +1536*a(n-15) +1326*a(n-16) -327*a(n-17) +802*a(n-18) -212*a(n-19) -739*a(n-20) -14*a(n-21) +4*a(n-22)

Example

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

Crossrefs

Cf. A295781.

Sequence in context: A278276 A201382 A101186 * A115204 A016277 A202131

Adjacent sequences: A295775 A295776 A295777 * A295779 A295780 A295781

Keyword

nonn

Author

R. H. Hardin, Nov 27 2017

Status

approved