A297298 Number of nX7 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 2 neighboring 1s.

1, 9, 32, 130, 600, 2816, 13504, 65521, 319835, 1566612, 7687400, 37759082, 185561978, 912173296, 4484666199, 22050441495, 108423345160, 533136119034, 2621552944596, 12890861627884, 63387955860276, 311696797461453

Offset

1,2

Comments

Column 7 of A297299.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -6*a(n-2) -26*a(n-3) +18*a(n-4) +37*a(n-5) -25*a(n-7) -9*a(n-8) -6*a(n-9) -2*a(n-10) +6*a(n-11) +5*a(n-12) for n>14

Example

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

Crossrefs

Cf. A297299.

Sequence in context: A225918 A367669 A231999 * A229444 A300773 A317279

Adjacent sequences: A297295 A297296 A297297 * A297299 A297300 A297301

Keyword

nonn

Author

R. H. Hardin, Dec 27 2017

Status

approved