A242151 - OEIS

%I #4 May 05 2014 06:40:57

%S 1314,131950,3708268,50455611,430518585,2653766000,12874102578,

%T 51971761446,181406955240,562733770845,1583267148775,4103373431703,

%U 9915409939254,22554409881732,48670945639576,100272843914859

%N Number of length 7+5 0..n arrays with no consecutive six elements summing to more than 3*n

%C Row 7 of A242144

%H R. H. Hardin, <a href="/A242151/b242151.txt">Table of n, a(n) for n = 1..36</a>

%F Empirical: a(n) = (5100631/31933440)*n^12 + (169163671/79833600)*n^11 + (187220249/14515200)*n^10 + (69250481/1451520)*n^9 + (23150501/193536)*n^8 + (74153023/345600)*n^7 + (4107686627/14515200)*n^6 + (80527567/290304)*n^5 + (146168441/725760)*n^4 + (192747089/1814400)*n^3 + (1199071/30800)*n^2 + (35587/3960)*n + 1

%e Some solutions for n=1

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

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

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, May 05 2014