A242150 - OEIS

%I #4 May 05 2014 06:40:12

%S 747,51440,1098260,12043599,86052208,456215409,1941492045,6980495147,

%T 21963123129,62016006945,160112849845,383388390463,860906165796,

%U 1828944557550,3702209669222,7182352124565,13418860449679,24241936676342

%N Number of length 6+5 0..n arrays with no consecutive six elements summing to more than 3*n

%C Row 6 of A242144

%H R. H. Hardin, <a href="/A242150/b242150.txt">Table of n, a(n) for n = 1..48</a>

%F Empirical: a(n) = (1956631/9979200)*n^11 + (1726129/725760)*n^10 + (9526243/725760)*n^9 + (5272471/120960)*n^8 + (19548049/201600)*n^7 + (5255677/34560)*n^6 + (124917323/725760)*n^5 + (25617881/181440)*n^4 + (75074821/907200)*n^3 + (83833/2520)*n^2 + (115589/13860)*n + 1

%e Some solutions for n=1

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

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, May 05 2014