A317114 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 7 or 8 king-move adjacent elements, with upper left element zero.

8, 112, 698, 5157, 37221, 273221, 2000595, 14657917, 107409094, 786977337, 5766514472, 42252483124, 309596442613, 2268496378461, 16621901593334, 121793245720515, 892412660477427, 6538953404213571, 47912712586210327

Offset

1,1

Comments

Column 4 of A317118.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +18*a(n-2) -52*a(n-3) -87*a(n-4) +179*a(n-5) -32*a(n-6) -71*a(n-7) +331*a(n-8) -255*a(n-9) +742*a(n-10) -1606*a(n-11) -181*a(n-12) +3533*a(n-13) -4199*a(n-14) +1635*a(n-15) -190*a(n-16) -239*a(n-17) +1405*a(n-18) -4311*a(n-19) +3687*a(n-20) -4321*a(n-21) +3412*a(n-22) -3747*a(n-23) +4780*a(n-24) -2739*a(n-25) +465*a(n-26) -471*a(n-27) +287*a(n-28) +41*a(n-29) +26*a(n-30) +101*a(n-31) -33*a(n-32) +12*a(n-33) -14*a(n-34) +8*a(n-35) for n>37

Example

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

Crossrefs

Cf. A317118.

Sequence in context: A281951 A316179 A305765 * A305526 A317000 A316818

Adjacent sequences: A317111 A317112 A317113 * A317115 A317116 A317117

Keyword

nonn

Author

R. H. Hardin, Jul 21 2018

Status

approved