A242149 Number of length 5+5 0..n arrays with no consecutive six elements summing to more than 3*n.
421, 19834, 321320, 2837837, 16970962, 77357343, 288712815, 924335053, 2621131557, 6736000381, 15956886023, 35297721979, 73650614324, 146121877010, 277441759058, 506811766161, 894639234101, 1531707118508, 2551438684546
Offset: 1
Keywords
Examples
Some solutions for n=2 ..2....1....1....1....1....1....2....0....0....0....0....1....1....1....2....2 ..0....0....0....0....1....2....2....1....0....0....1....1....0....1....2....0 ..0....2....1....1....1....0....2....0....0....0....1....0....2....0....0....2 ..1....0....1....1....0....1....0....0....2....1....1....0....0....1....1....1 ..1....0....0....0....2....1....0....0....1....1....0....1....0....0....1....1 ..1....1....1....0....1....0....0....1....1....0....0....0....0....1....0....0 ..0....0....1....0....1....1....0....1....0....0....1....2....2....1....0....2 ..0....0....0....1....1....0....1....0....1....0....0....1....0....2....0....0 ..2....2....1....2....0....2....0....0....1....0....2....2....0....1....0....1 ..0....1....1....1....0....1....2....2....0....1....0....0....1....1....0....0
Links
- R. H. Hardin, Table of n, a(n) for n = 1..137
Formula
Empirical: a(n) = (859693/3628800)*n^10 + (1892767/725760)*n^9 + (1563833/120960)*n^8 + (4608661/120960)*n^7 + (12804769/172800)*n^6 + (3445219/34560)*n^5 + (1069993/11340)*n^4 + (11327921/181440)*n^3 + (234169/8400)*n^2 + (2416/315)*n + 1
Comments