A316805 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

16, 512, 14711, 420345, 12075849, 347046960, 9972851339, 286582122564, 8235306627639, 236652160847776, 6800504870966239, 195421272862924839, 5615682165687949161, 161373865411808416990, 4637286026726276662130

Offset

1,1

Comments

Column 5 of A316808.

Links

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

Formula

Empirical: a(n) = 29*a(n-1) -20*a(n-2) +376*a(n-3) -465*a(n-4) -2367*a(n-5) +374*a(n-6) -6254*a(n-7) +28308*a(n-8) -10515*a(n-9) -124724*a(n-10) +128227*a(n-11) +52996*a(n-12) -74116*a(n-13) +242502*a(n-14) -97704*a(n-15) -118290*a(n-16) +76312*a(n-17) -62048*a(n-18) -18536*a(n-19) +38160*a(n-20) +2816*a(n-21) -4096*a(n-22)

Example

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

Crossrefs

Cf. A316808.

Sequence in context: A302007 A301781 A264144 * A317522 A299651 A300205

Adjacent sequences: A316802 A316803 A316804 * A316806 A316807 A316808

Keyword

nonn

Author

R. H. Hardin, Jul 14 2018

Status

approved