A299063 Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

2, 64, 993, 13765, 196699, 2827609, 40585250, 582407760, 8358259950, 119952006315, 1721463741562, 24705187860146, 354550820208077, 5088254555610537, 73022914681708450, 1047971560792616433

Offset

1,1

Comments

Column 4 of A299067.

Links

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

Formula

Empirical: a(n) = 12*a(n-1) +26*a(n-2) +98*a(n-3) +216*a(n-4) -360*a(n-5) -405*a(n-6) -1419*a(n-7) -639*a(n-8) +4900*a(n-9) +2551*a(n-10) -4072*a(n-11) -2299*a(n-12) -1442*a(n-13) +1353*a(n-14) +2705*a(n-15) -1262*a(n-16) -1460*a(n-17) +621*a(n-18) +18*a(n-19) +55*a(n-20) -12*a(n-21) -4*a(n-22) for n>23

Example

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

Crossrefs

Cf. A299067.

Sequence in context: A299369 A299138 A299933 * A299835 A299724 A047707

Adjacent sequences: A299060 A299061 A299062 * A299064 A299065 A299066

Keyword

nonn

Author

R. H. Hardin, Feb 01 2018

Status

approved