A224162 Number of 6Xn 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing

64, 972, 2935, 5657, 10562, 20065, 39037, 76393, 148637, 284937, 535211, 981957, 1757541, 3068802, 5231637, 8719051, 14227266, 22765909, 35780116, 55314683, 84233265, 126509183, 187608775, 274993564, 398773975, 572555093, 814524213

Offset

1,1

Comments

Row 6 of A224158

Links

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

Formula

Empirical: a(n) = (1/479001600)*n^12 - (1/15966720)*n^11 + (127/43545600)*n^10 - (7/207360)*n^9 + (4033/2073600)*n^8 - (5443/483840)*n^7 + (13552621/43545600)*n^6 - (8448991/1451520)*n^5 + (1032695879/10886400)*n^4 - (8305531/10368)*n^3 + (67691137/14850)*n^2 - (80407927/5544)*n + 24225 for n>8

Example

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

Crossrefs

Sequence in context: A303512 A000818 A220678 * A224413 A016959 A224392

Adjacent sequences: A224159 A224160 A224161 * A224163 A224164 A224165

Keyword

nonn

Author

R. H. Hardin Mar 31 2013

Status

approved