A297579 Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 4 neighboring 1s.

6, 39, 188, 1017, 5800, 31171, 171543, 945046, 5175491, 28425138, 156104665, 856754888, 4703782455, 25823973877, 141766379306, 778286514143, 4272707870336, 23456587740397, 128773952953874, 706953473963971

Offset

1,1

Comments

Column 5 of A297582.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +8*a(n-2) +65*a(n-3) +24*a(n-4) -109*a(n-5) -708*a(n-6) -460*a(n-7) +1188*a(n-8) +1178*a(n-9) +1813*a(n-10) -509*a(n-11) -2484*a(n-12) -3623*a(n-13) -998*a(n-14) +974*a(n-15) +4136*a(n-16) +3611*a(n-17) +746*a(n-18) -1268*a(n-19) -2677*a(n-20) -2205*a(n-21) -330*a(n-22) +30*a(n-23) +347*a(n-24) +205*a(n-25) -45*a(n-26) +46*a(n-27) +66*a(n-28) +8*a(n-29) -8*a(n-30)

Example

Some solutions for n=7
..0..1..0..1..0. .0..0..0..0..0. .0..0..0..0..1. .0..0..1..0..0
..0..0..1..1..0. .1..1..0..0..0. .0..0..0..1..0. .0..0..0..1..0
..1..0..0..1..0. .0..0..0..0..0. .0..0..0..0..0. .0..1..0..1..0
..0..1..0..1..0. .0..1..1..0..0. .1..0..0..0..0. .0..1..1..1..0
..0..0..0..0..1. .0..0..0..0..0. .0..1..0..0..0. .0..0..0..0..0
..0..1..0..0..1. .0..1..0..0..1. .0..0..0..0..0. .0..0..1..0..0
..1..0..0..1..0. .1..0..0..1..0. .0..0..0..1..1. .0..1..0..0..0

Crossrefs

Cf. A297582.

Sequence in context: A164082 A159571 A007793 * A229600 A339205 A258342

Adjacent sequences: A297576 A297577 A297578 * A297580 A297581 A297582

Keyword

nonn

Author

R. H. Hardin, Jan 01 2018

Status

approved