A241941 Number of length 5+4 0..n arrays with no consecutive five elements summing to more than 2*n

116, 2727, 28153, 179145, 829867, 3072022, 9624440, 26502761, 65852820, 150474973, 320706893, 644489313, 1231612799, 2253333900, 3968755944, 6759593329, 11175178396, 17989826867, 28274951385, 43488602905, 65585426555

Offset

1,1

Comments

Row 5 of A241936

Links

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

Formula

Empirical: a(n) = (8329/181440)*n^9 + (5921/10080)*n^8 + (19841/6048)*n^7 + (7589/720)*n^6 + (186613/8640)*n^5 + (42487/1440)*n^4 + (15382/567)*n^3 + (20623/1260)*n^2 + (1873/315)*n + 1

Example

Some solutions for n=4
..0....1....0....1....0....0....0....0....0....0....2....1....0....1....0....1
..0....4....3....1....1....1....1....2....0....4....0....0....4....0....0....1
..2....0....0....3....1....3....4....3....2....2....1....2....1....0....0....2
..0....0....2....0....4....1....2....1....0....1....1....2....1....4....2....1
..1....0....0....0....0....2....1....0....0....0....0....2....0....0....1....0
..0....2....3....3....0....1....0....0....0....0....3....1....1....0....3....3
..1....2....0....1....3....1....0....3....0....3....0....1....0....0....0....0
..0....2....0....2....1....0....1....0....3....1....1....0....1....0....0....1
..1....0....4....1....2....0....2....3....4....2....0....0....2....4....1....3

Crossrefs

Sequence in context: A203251 A238924 A076044 * A202903 A193170 A296360

Adjacent sequences: A241938 A241939 A241940 * A241942 A241943 A241944

Keyword

nonn

Author

R. H. Hardin, May 02 2014

Status

approved