A242148 Number of length 4+5 0..n arrays with no consecutive six elements summing to more than 3*n

236, 7596, 93308, 663395, 3319500, 13006484, 42564898, 121330981, 310054250, 725133024, 1576001362, 3220436895, 6243597894, 11567739640, 20600804748, 35433429545, 59095358912, 95883815172, 151778022640, 234955848347

Offset

1,1

Comments

Row 4 of A242144

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

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

Example

Some solutions for n=3
..0....2....0....0....2....2....3....2....2....3....3....2....2....3....1....2
..2....2....3....2....0....0....1....0....1....0....0....2....0....2....1....1
..1....0....0....0....0....0....3....1....2....0....1....3....2....0....0....0
..3....0....2....0....1....2....0....0....3....2....0....0....1....2....3....0
..0....1....0....1....3....0....0....1....0....2....2....1....0....2....3....1
..2....2....3....0....0....2....0....1....0....2....3....1....0....0....0....2
..1....1....1....3....3....1....3....2....1....2....1....0....0....2....1....0
..0....1....1....0....1....2....2....1....2....1....1....1....0....2....2....0
..0....2....1....2....0....1....0....0....2....0....0....3....2....1....0....2

Crossrefs

Sequence in context: A138820 A218649 A285156 * A231953 A233178 A220760

Adjacent sequences: A242145 A242146 A242147 * A242149 A242150 A242151

Keyword

nonn

Author

R. H. Hardin, May 05 2014

Status

approved