A297730 Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 4 neighboring 1s.

1, 32, 92, 362, 2719, 11171, 53173, 304157, 1417699, 7020469, 36967694, 180826511, 905496100, 4634841976, 23093286304, 116089088992, 588289208512, 2951875225059, 14861263464798, 75043289834641, 377564870462712

Offset

1,2

Comments

Column 5 of A297733.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +7*a(n-2) +139*a(n-3) -154*a(n-4) -684*a(n-5) -7437*a(n-6) +1404*a(n-7) +18728*a(n-8) +180543*a(n-9) +81585*a(n-10) -153136*a(n-11) -1992100*a(n-12) -1600395*a(n-13) +186914*a(n-14) +9844587*a(n-15) +9326271*a(n-16) -390425*a(n-17) -21063001*a(n-18) -17292900*a(n-19) +11018789*a(n-20) +19647484*a(n-21) +2623386*a(n-22) -14362026*a(n-23) -1267059*a(n-24) +5221531*a(n-25) +728106*a(n-26) -841152*a(n-27) -515032*a(n-28) +92540*a(n-29) -110107*a(n-30) +2823*a(n-31) +31385*a(n-32) -3007*a(n-33) +1252*a(n-34) -700*a(n-35)

Example

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

Crossrefs

Cf. A297733.

Sequence in context: A279713 A228801 A220581 * A360436 A124804 A188184

Adjacent sequences: A297727 A297728 A297729 * A297731 A297732 A297733

Keyword

nonn

Author

R. H. Hardin, Jan 04 2018

Status

approved