login
A223642
Number of nX6 0..1 arrays with rows, columns, diagonals and antidiagonals unimodal
1
22, 484, 4904, 28450, 120307, 428187, 1370104, 4063584, 11337648, 29980136, 75501066, 181755554, 419574383, 931417149, 1993443114, 4122964868, 8258744026, 16054980456, 30348305906, 55882034882, 100405014805, 176305599685
OFFSET
1,1
COMMENTS
Column 6 of A223644
LINKS
FORMULA
Empirical: a(n) = (271/5443200)*n^12 - (5527/1995840)*n^11 + (55709/544320)*n^10 - (179285/72576)*n^9 + (69131681/1814400)*n^8 - (2290717/10080)*n^7 - (649163341/136080)*n^6 + (54977562187/362880)*n^5 - (2886586169891/1360800)*n^4 + (1624780719439/90720)*n^3 - (17508153293/189)*n^2 + (926735309999/3465)*n - 321893740 for n>13
EXAMPLE
Some solutions for n=4
..0..1..1..1..1..1....0..0..0..0..1..1....0..0..0..1..0..0....0..1..0..0..0..0
..1..1..1..1..1..1....0..1..1..1..1..1....1..1..1..1..1..0....1..1..1..1..0..0
..1..1..1..1..1..1....0..1..1..1..1..1....0..0..1..1..1..1....0..1..1..1..0..0
..0..0..0..1..1..0....0..0..0..0..0..0....0..0..0..0..1..0....0..1..1..0..0..0
CROSSREFS
Sequence in context: A207964 A262469 A207446 * A207744 A207721 A223737
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 24 2013
STATUS
approved