A318542 - OEIS

%I #6 May 25 2024 22:44:01

%S 8,8,26,78,247,784,2349,7191,22268,68384,210050,645832,1985105,

%T 6102355,18758291,57660242,177244228,544835790,1674781291,5148145759,

%U 15824995614,48644815851,149530340549,459644547764,1412911535090,4343179473160

%N Number of n X 5 0..1 arrays with every element unequal to 0, 1, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 5 of A318545.

%H R. H. Hardin, <a href="/A318542/b318542.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +14*a(n-3) +7*a(n-4) +33*a(n-5) -6*a(n-6) +20*a(n-7) -48*a(n-8) -4*a(n-9) -32*a(n-10) +30*a(n-12) +14*a(n-13) -8*a(n-14) -10*a(n-15) +9*a(n-16) -3*a(n-17) -13*a(n-18) +9*a(n-19) +7*a(n-20) -5*a(n-21) -a(n-22) +a(n-23) for n>24.

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A318545.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 28 2018