A224161 Number of 5Xn 0..1 arrays with diagonals and rows unimodal and antidiagonals nondecreasing.

32, 324, 900, 1783, 3469, 6786, 13283, 25624, 48339, 88755, 158358, 274636, 463580, 763045, 1227226, 1932567, 2985495, 4532457, 6772837, 9975443, 14499382, 20820285, 29563005, 41542090, 57811531, 79725503, 109012056, 147861974

Offset

1,1

Comments

Row 5 of A224158

Links

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

Formula

Empirical: a(n) = (1/3628800)*n^10 - (1/241920)*n^9 + (13/60480)*n^8 - (1/2688)*n^7 + (15793/172800)*n^6 - (10013/11520)*n^5 + (3158927/362880)*n^4 - (461413/12096)*n^3 + (13189843/50400)*n^2 - (797567/840)*n + 2301 for n>6

Example

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

Crossrefs

Sequence in context: A368621 A221661 A221064 * A224412 A192075 A297611

Adjacent sequences: A224158 A224159 A224160 * A224162 A224163 A224164

Keyword

nonn

Author

R. H. Hardin, Mar 31 2013

Status

approved