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A241969 Number of length 6+3 0..n arrays with no consecutive four elements summing to more than 2*n 1

%I

%S 166,4663,53553,365810,1782453,6853011,22111157,62336336,157897575,

%T 366623400,792037896,1610247431,3108255424,5737023770,10183189142,

%U 17463980371,29050569460,47025823517,74283207995,114774423104

%N Number of length 6+3 0..n arrays with no consecutive four elements summing to more than 2*n

%C Row 6 of A241964

%H R. H. Hardin, <a href="/A241969/b241969.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (24187/181440)*n^9 + (57493/40320)*n^8 + (12829/1890)*n^7 + (54583/2880)*n^6 + (296887/8640)*n^5 + (242891/5760)*n^4 + (3196213/90720)*n^3 + (196087/10080)*n^2 + (16343/2520)*n + 1

%e Some solutions for n=3

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, May 03 2014

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Last modified September 24 13:14 EDT 2022. Contains 356932 sequences. (Running on oeis4.)