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 A196014 Number of nX5 0..4 arrays with each element equal to the number its horizontal and vertical neighbors within one of itself 1

%I

%S 1,3,13,27,106,316,835,2350,7232,21846,63985,186029,548387,1625398,

%T 4800819,14129048,41608725,122724222,362055916,1067475979,3146535362,

%U 9276448225,27352573231,80649512515,237779505381,701041117758

%N Number of nX5 0..4 arrays with each element equal to the number its horizontal and vertical neighbors within one of itself

%C Column 5 of A196017

%H R. H. Hardin, <a href="/A196014/b196014.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 2*a(n-1) +a(n-2) +a(n-3) +19*a(n-4) -7*a(n-5) -16*a(n-6) -26*a(n-7) -90*a(n-8) +26*a(n-10) +41*a(n-11) +143*a(n-12) +3*a(n-13) -26*a(n-14) -17*a(n-15) -40*a(n-16) -4*a(n-17) +36*a(n-18) -18*a(n-19) -24*a(n-20) +11*a(n-21) +8*a(n-22) -4*a(n-23) for n>26

%e Some solutions for n=4

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

%e ..3..4..3..4..3....3..4..3..0..2....2..0..3..3..2....2..3..4..4..3

%e ..3..3..0..3..3....3..4..4..3..2....2..3..3..0..2....2..0..3..4..3

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Sep 26 2011

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Last modified March 20 22:57 EDT 2023. Contains 361392 sequences. (Running on oeis4.)