A241943 Number of length 7+4 0..n arrays with no consecutive five elements summing to more than 2*n.

300, 13783, 235307, 2237881, 14484953, 71410234, 287426800, 988849923, 3001975962, 8229334021, 20724057835, 48580810915, 107107895363, 223936999508, 446973165720, 856397420093, 1582318291368, 2830137107267, 4916257200659

Offset

1,1

Comments

Row 7 of A241936.

Links

R. H. Hardin, Table of n, a(n) for n = 1..96

Formula

Empirical: a(n) = (21071/1108800)*n^11 + (544273/1814400)*n^10 + (154375/72576)*n^9 + (38713/4320)*n^8 + (944693/37800)*n^7 + (4201009/86400)*n^6 + (8184077/120960)*n^5 + (12291059/181440)*n^4 + (21852197/453600)*n^3 + (28049/1200)*n^2 + (97403/13860)*n + 1.

Example

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

Crossrefs

Cf. A241936.

Sequence in context: A234412 A234406 A092715 * A036517 A223350 A190880

Adjacent sequences: A241940 A241941 A241942 * A241944 A241945 A241946

Keyword

nonn

Author

R. H. Hardin, May 02 2014

Status

approved