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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. 1
8, 112, 698, 5157, 37221, 273221, 2000595, 14657917, 107409094, 786977337, 5766514472, 42252483124, 309596442613, 2268496378461, 16621901593334, 121793245720515, 892412660477427, 6538953404213571, 47912712586210327 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 16 02:29 EDT 2021. Contains 348034 sequences. (Running on oeis4.)