A223841 Number of 5Xn 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing

6, 36, 149, 471, 1240, 2884, 6159, 12371, 23716, 43790, 78342, 136368, 231677, 385101, 627571, 1004341, 1580713, 2449699, 3742152, 5640008, 8393406, 12342594, 17945687, 25813519, 36753026, 51820812, 72388786, 100224016, 137585227

Offset

1,1

Comments

Row 5 of A223838

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 + (17/120960)*n^8 - (1/13440)*n^7 + (3733/172800)*n^6 - (893/11520)*n^5 + (178931/90720)*n^4 - (188123/60480)*n^3 + (504149/25200)*n^2 - (30581/420)*n + 121 for n>4

Example

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

Crossrefs

Sequence in context: A364429 A018214 A181478 * A210322 A056268 A001117

Adjacent sequences: A223838 A223839 A223840 * A223842 A223843 A223844

Keyword

nonn

Author

R. H. Hardin Mar 27 2013

Status

approved