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Number of length n+3 0..5 arrays with no consecutive four elements summing to more than 2*5.
1

%I #6 Jun 09 2023 08:01:30

%S 721,3437,16660,80132,376559,1782453,8476317,40313706,191370192,

%T 908268343,4312922647,20483132941,97267496309,461856616822,

%U 2193101268453,10414092378458,49451882143389,234822848509532,1115058584108581

%N Number of length n+3 0..5 arrays with no consecutive four elements summing to more than 2*5.

%C Column 5 of A241964.

%H R. H. Hardin, <a href="/A241961/b241961.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..2....2....1....3....1....4....1....0....5....1....2....1....1....3....3....2

%e ..1....4....4....3....1....1....5....3....3....2....0....3....1....3....4....2

%e ..3....1....3....2....4....3....3....3....1....0....2....2....2....0....1....2

%e ..4....0....1....1....4....1....1....0....1....4....1....0....2....1....1....1

%e ..0....2....0....1....1....4....1....2....4....2....0....1....0....4....0....2

%e ..0....3....5....0....0....1....0....2....3....1....0....1....5....2....1....3

%e ..5....4....2....2....2....0....5....1....0....1....2....1....2....2....4....4

%Y Cf. A241964.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 03 2014