A245957 - OEIS

%I #4 Aug 08 2014 07:42:36

%S 548,31577,300304,2141609,7972932,26526337,67596992,161991665,

%T 335832580,669329801,1217929488,2155659097,3584230244,5837790449,

%U 9084731392,13912683617,20579766372,30053056825,42704873360,60046213001,82587911428

%N Number of length 7+3 0..n arrays with some pair in every consecutive four terms totalling exactly n

%C Row 7 of A245950

%H R. H. Hardin, <a href="/A245957/b245957.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +5*a(n-2) -12*a(n-3) -9*a(n-4) +30*a(n-5) +5*a(n-6) -40*a(n-7) +5*a(n-8) +30*a(n-9) -9*a(n-10) -12*a(n-11) +5*a(n-12) +2*a(n-13) -a(n-14)

%e Some solutions for n=2

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 08 2014