A241970 Number of length 7+3 0..n arrays with no consecutive four elements summing to more than 2*n

285, 11518, 172980, 1460409, 8476317, 37822419, 138925925, 439298830, 1233421948, 3144133223, 7397932763, 16271365032, 33784971650, 66744596242, 126257435694, 229882539967, 404612835239, 690928552540, 1148210556166

Offset

1,1

Comments

Row 7 of A241964

Links

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

Formula

Empirical: a(n) = (1057/10368)*n^10 + (16313/13440)*n^9 + (787993/120960)*n^8 + (139919/6720)*n^7 + (760961/17280)*n^6 + (124127/1920)*n^5 + (3473863/51840)*n^4 + (20441/420)*n^3 + (240259/10080)*n^2 + (2001/280)*n + 1

Example

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

Crossrefs

Sequence in context: A225881 A332919 A278629 * A231422 A146893 A353544

Adjacent sequences: A241967 A241968 A241969 * A241971 A241972 A241973

Keyword

nonn

Author

R. H. Hardin, May 03 2014

Status

approved