A242148 - OEIS

%I #4 May 05 2014 06:38:42

%S 236,7596,93308,663395,3319500,13006484,42564898,121330981,310054250,

%T 725133024,1576001362,3220436895,6243597894,11567739640,20600804748,

%U 35433429545,59095358912,95883815172,151778022640,234955848347

%N Number of length 4+5 0..n arrays with no consecutive six elements summing to more than 3*n

%C Row 4 of A242144

%H R. H. Hardin, <a href="/A242148/b242148.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (51431/181440)*n^9 + (7069/2520)*n^8 + (373229/30240)*n^7 + (763/24)*n^6 + (457907/8640)*n^5 + (1191/20)*n^4 + (2059039/45360)*n^3 + (5759/252)*n^2 + (4399/630)*n + 1

%e Some solutions for n=3

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, May 05 2014