A302627 Number of 6Xn 0..1 arrays with every element equal to 0, 1, 2 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

32, 857, 498, 917, 2669, 9015, 30536, 106951, 390471, 1418770, 5187336, 19072884, 70161340, 258136454, 950791325, 3502412784, 12902180692, 47536048100, 175148275831, 645338284527, 2377822037917, 8761448089828, 32282914500745

Offset

1,1

Comments

Row 6 of A302623.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -a(n-2) -9*a(n-3) -28*a(n-4) -17*a(n-5) +195*a(n-6) +29*a(n-7) -153*a(n-8) -412*a(n-9) -101*a(n-10) +734*a(n-11) +271*a(n-12) +208*a(n-13) -1151*a(n-14) -613*a(n-15) +931*a(n-16) +599*a(n-17) +550*a(n-18) -1110*a(n-19) -517*a(n-20) +301*a(n-21) +247*a(n-22) +211*a(n-23) -103*a(n-24) -57*a(n-25) -3*a(n-26) -13*a(n-27) +6*a(n-28) +2*a(n-29) for n>35

Example

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

Crossrefs

Cf. A302623.

Sequence in context: A301839 A302067 A281474 * A302419 A303186 A302327

Adjacent sequences: A302624 A302625 A302626 * A302628 A302629 A302630

Keyword

nonn

Author

R. H. Hardin, Apr 10 2018

Status

approved