A266098 - OEIS

%I #4 Dec 21 2015 08:17:37

%S 9,100,736,6307,53442,457738,3899732,33335734,284461696,2429715557,

%T 20742789506,177131531358,1512387248385,12914053828252,

%U 110266892304637,941535315103858,8039395936919182,68645593300515776,586139023034958513

%N Number of nX5 integer arrays with each element equal to the number of horizontal and antidiagonal neighbors exactly one smaller than itself.

%C Column 5 of A266101.

%H R. H. Hardin, <a href="/A266098/b266098.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +74*a(n-2) +76*a(n-3) -1329*a(n-4) -1483*a(n-5) +10492*a(n-6) +9562*a(n-7) -37686*a(n-8) -32576*a(n-9) +49666*a(n-10) +84934*a(n-11) -16375*a(n-12) -90227*a(n-13) -34968*a(n-14) +34720*a(n-15) +23431*a(n-16) +2409*a(n-17) for n>20

%e Some solutions for n=4

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

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

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

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

%Y Cf. A266101.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 21 2015