A303313 Number of nX7 0..1 arrays with every element equal to 0, 1, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

21, 23, 158, 439, 1799, 7096, 26184, 100128, 387892, 1473950, 5617780, 21537368, 82283698, 314136752, 1201134460, 4591062616, 17541004106, 67038118694, 256214474112, 979116873266, 3741800363318, 14300090089956, 54649561868376

Offset

1,1

Comments

Column 7 of A303314.

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +36*a(n-3) +23*a(n-4) +15*a(n-5) -252*a(n-6) -288*a(n-7) -81*a(n-8) +830*a(n-9) +496*a(n-10) +172*a(n-11) -720*a(n-12) -184*a(n-13) -396*a(n-14) +352*a(n-15) -248*a(n-16) +112*a(n-17) -176*a(n-18) -64*a(n-20) for n>23

Example

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

Crossrefs

Cf. A303314.

Sequence in context: A304269 A302679 A302514 * A257642 A332922 A066867

Adjacent sequences: A303310 A303311 A303312 * A303314 A303315 A303316

Keyword

nonn

Author

R. H. Hardin, Apr 21 2018

Status

approved