A224412 Number of 5Xn 0..1 arrays with rows unimodal and antidiagonals nondecreasing

32, 324, 1288, 3436, 7812, 16420, 32814, 63202, 118117, 214919, 381436, 661132, 1120283, 1857749, 3018052, 4808608, 7522116, 11565280, 17495232, 26065236, 38281486, 55473066, 79377418, 112243966, 156958871, 217194245, 297585532

Offset

1,1

Comments

Row 5 of A224409

Links

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

Formula

Empirical: a(n) = (1/3628800)*n^10 + (1/80640)*n^9 + (1/3456)*n^8 + (23/5760)*n^7 + (7213/172800)*n^6 + (683/2304)*n^5 + (138869/36288)*n^4 + (32143/2240)*n^3 + (32909/450)*n^2 - (753/20)*n - 44 for n>3

Example

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

Crossrefs

Sequence in context: A221661 A221064 A224161 * A192075 A297611 A201152

Adjacent sequences: A224409 A224410 A224411 * A224413 A224414 A224415

Keyword

nonn

Author

R. H. Hardin Apr 05 2013

Status

approved