A185563 - OEIS

A185563

1/4 the number of n X 5 0..3 arrays with no element equal both to the element above and to the element to its left.

%I #8 May 07 2022 22:02:03

%S 256,202500,159749820,126017211780,99407416968000,78416544382742160,

%T 61858104930689319360,48796145962555619907720,

%U 38492350573406180494467240,30364304873646611423433030660,23952577505016018447231455650500

%N 1/4 the number of n X 5 0..3 arrays with no element equal both to the element above and to the element to its left.

%C Column 5 of A185567.

%H R. H. Hardin, <a href="/A185563/b185563.txt">Table of n, a(n) for n = 1..169</a>

%F Empirical: a(n) = 829*a(n-1)-32339*a(n-2)+525706*a(n-3)-4547088*a(n-4)+22231638*a(n-5)-58780485*a(n-6)+68179725*a(n-7)-10661625*a(n-8).

%e Some solutions for 3 X 5 with a(1,1)=0.

%e ..0..0..0..2..3....0..0..0..3..0....0..0..2..2..1....0..0..0..0..2

%e ..0..2..2..0..0....0..2..0..0..1....0..2..0..1..2....0..2..2..0..1

%e ..0..0..3..2..0....0..0..1..3..1....0..0..2..1..2....0..2..3..3..1

%Y Cf. A185567.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 31 2011