A317730 Number of nX5 0..1 arrays with every element unequal to 1, 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

3, 383, 9541, 293378, 8931649, 270714329, 8216055128, 249314217853, 7565327218559, 229567981552274, 6966174450868233, 211386578804567917, 6414465665292666586, 194645136230595531705, 5906451304820462783287

Offset

1,1

Comments

Column 5 of A317733.

Links

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

Formula

Empirical: a(n) = 22*a(n-1) +209*a(n-2) +1293*a(n-3) +1519*a(n-4) -399*a(n-5) -23135*a(n-6) -10823*a(n-7) -23737*a(n-8) +123837*a(n-9) -47151*a(n-10) +125395*a(n-11) -208271*a(n-12) +64615*a(n-13) -97033*a(n-14) +92151*a(n-15) +1586*a(n-16) +11269*a(n-17) -11258*a(n-18) -240*a(n-19) -216*a(n-20) +432*a(n-21)

Example

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

Crossrefs

Cf. A317733.

Sequence in context: A305689 A317069 A316950 * A193131 A193154 A120061

Adjacent sequences: A317727 A317728 A317729 * A317731 A317732 A317733

Keyword

nonn

Author

R. H. Hardin, Aug 05 2018

Status

approved