A300171 Number of nX4 0..1 arrays with every element equal to 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

0, 6, 37, 268, 2620, 23522, 223445, 2117743, 20154626, 192105610, 1831726755, 17471097262, 166653939139, 1589761562086, 15165501199167, 144672176026087, 1380113732256295, 13165743488534979, 125596111620967559

Offset

1,2

Comments

Column 4 of A300175.

Links

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

Formula

Empirical: a(n) = 9*a(n-1) +27*a(n-2) -166*a(n-3) -548*a(n-4) +941*a(n-5) +4154*a(n-6) -129*a(n-7) -9373*a(n-8) -6012*a(n-9) -2163*a(n-10) -462*a(n-11) +4609*a(n-12) +11124*a(n-13) +1499*a(n-14) +2175*a(n-15) -5904*a(n-16) +1481*a(n-17) -561*a(n-18) -5302*a(n-19) +2380*a(n-20) +1091*a(n-21) +890*a(n-22) -2400*a(n-23) +1432*a(n-24) -280*a(n-25) for n>26

Example

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

Crossrefs

Cf. A300175.

Sequence in context: A088312 A012364 A012719 * A218298 A179515 A330495

Adjacent sequences: A300168 A300169 A300170 * A300172 A300173 A300174

Keyword

nonn

Author

R. H. Hardin, Feb 27 2018

Status

approved