A320368 - OEIS

%I #4 Oct 11 2018 14:10:10

%S 16,512,11396,245060,5304988,114844160,2486026176,53815748216,

%T 1164968680976,25218497234636,545913959132716,11817597978745396,

%U 255819843095678816,5537825233926963992,119879318089230109348

%N Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 5 of A320371.

%H R. H. Hardin, <a href="/A320368/b320368.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 32*a(n-1) -260*a(n-2) +855*a(n-3) -1752*a(n-4) +899*a(n-5) +11429*a(n-6) -29910*a(n-7) +39242*a(n-8) -69476*a(n-9) -200949*a(n-10) +247388*a(n-11) -579287*a(n-12) +468675*a(n-13) +1570257*a(n-14) -1702902*a(n-15) -82110*a(n-16) +1217792*a(n-17) -748544*a(n-18) -204624*a(n-19) +48992*a(n-20) -41128*a(n-21) +4960*a(n-22) +1360*a(n-23) -688*a(n-24) +64*a(n-25) for n>26

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A320371.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 11 2018