A223683 Number of 5Xn 0..1 arrays with rows and antidiagonals unimodal

32, 1024, 13045, 85663, 384009, 1363639, 4123210, 11062778, 27036251, 61267043, 130398069, 263173867, 507406703, 940062881, 1681523014, 2915323586, 4914979621, 8079822545, 12982166253, 20428540847, 31538210365, 47842720947

Offset

1,1

Comments

Row 5 of A223680

Links

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

Formula

Empirical: a(n) = (359/453600)*n^10 + (251/30240)*n^9 + (14533/60480)*n^8 + (583/630)*n^7 + (62303/5400)*n^6 - (4999/1440)*n^5 + (14868751/181440)*n^4 - (1038043/3780)*n^3 + (3156491/8400)*n^2 - (91003/210)*n + 362 for n>2

Example

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

Crossrefs

Sequence in context: A189692 A188743 A188995 * A189067 A189192 A188877

Adjacent sequences: A223680 A223681 A223682 * A223684 A223685 A223686

Keyword

nonn

Author

R. H. Hardin Mar 25 2013

Status

approved