A202866 Number of 4 X 4 0..n arrays with row and column sums one greater than the previous row and column.

2, 1346, 41852, 491892, 3436102, 17232446, 68544440, 229551288, 672922218, 1773763178, 4286374004, 9634559948, 20367690798, 40850961478, 78277647728, 144113836976, 256112415570, 441063276882, 738481048172, 1205470385252

Offset

1,1

Comments

Row 4 of A202864.

Links

Table of n, a(n) for n=1..20.

Formula

Empirical: a(n) = (2789/37800)*n^10 + (2789/3780)*n^9 + (6673/2520)*n^8 + (73/21)*n^7 - (1673/1800)*n^6 - (929/180)*n^5 - (14359/7560)*n^4 + (521/189)*n^3 + (3487/3150)*n^2 - (17/21)*n.

Example

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

Crossrefs

Cf. A202864.

Sequence in context: A298757 A020526 A247821 * A265587 A244614 A094477

Adjacent sequences: A202863 A202864 A202865 * A202867 A202868 A202869

Keyword

nonn

Author

R. H. Hardin, Dec 25 2011

Status

approved