A242151 Number of length 7+5 0..n arrays with no consecutive six elements summing to more than 3*n.
1314, 131950, 3708268, 50455611, 430518585, 2653766000, 12874102578, 51971761446, 181406955240, 562733770845, 1583267148775, 4103373431703, 9915409939254, 22554409881732, 48670945639576, 100272843914859
Offset: 1
Keywords
Examples
Some solutions for n=1 ..0....0....0....0....1....0....0....1....1....0....0....1....1....1....1....0 ..0....0....0....0....0....1....0....1....0....0....1....0....1....0....1....0 ..0....1....0....0....1....1....1....0....1....1....1....1....1....1....0....1 ..1....0....0....0....0....1....1....0....0....0....0....1....0....0....0....1 ..1....0....0....1....1....0....0....0....0....0....0....0....0....0....0....0 ..1....0....1....1....0....0....1....0....0....0....0....0....0....0....0....0 ..0....1....1....0....0....0....0....0....0....1....1....0....0....0....1....1 ..0....0....0....0....0....0....0....1....0....1....1....1....0....1....1....0 ..0....1....0....0....0....0....1....0....1....0....0....1....1....0....1....0 ..1....0....0....1....1....1....1....0....1....0....0....0....1....1....0....0 ..1....1....0....0....1....0....0....0....1....0....1....1....1....1....0....1 ..0....0....0....1....1....1....0....0....0....1....0....0....0....0....0....1
Links
- R. H. Hardin, Table of n, a(n) for n = 1..36
Formula
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
Comments