A229797 Number of 4X4 0..n arrays with rows and columns in lexicographically nondecreasing order

650, 250841, 21907055, 733861607, 13111482259, 150943642765, 1257194266246, 8170451731089, 43642376268844, 198859490805437, 794550500198885, 2842727725991231, 9257049674121653, 27794351169785161, 77754305616698860

Offset

1,1

Comments

Row 4 of A229794

Links

R. H. Hardin, Table of n, a(n) for n = 1..41

Formula

Empirical: a(n) = (1/252)*n^16 + (17/252)*n^15 + (1349/2520)*n^14 + (26531/10080)*n^13 + (2597/288)*n^12 + (691/30)*n^11 + (694109/15120)*n^10 + (2229581/30240)*n^9 + (5469/56)*n^8 + (546263/5040)*n^7 + (73249/720)*n^6 + (7297/90)*n^5 + (47305/864)*n^4 + (16739/540)*n^3 + (36263/2520)*n^2 + (533/105)*n + 1

Example

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

Crossrefs

Sequence in context: A162025 A251861 A035851 * A110836 A252388 A043605

Adjacent sequences: A229794 A229795 A229796 * A229798 A229799 A229800

Keyword

nonn

Author

R. H. Hardin, Sep 29 2013

Status

approved