A223946 Number of nX5 0..1 arrays with diagonals and antidiagonals unimodal and rows nondecreasing

6, 36, 157, 558, 1821, 5951, 20275, 71653, 257568, 928047, 3335267, 11962223, 42897410, 153982177, 553329976, 1989825264, 7158056447, 25752911149, 92656210922, 333378246553, 1199549630143, 4316356194035, 15532107553777

Offset

1,1

Comments

Column 5 of A223949

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -9*a(n-2) -a(n-3) +11*a(n-4) -7*a(n-5) +12*a(n-6) -51*a(n-7) -91*a(n-8) -171*a(n-9) +353*a(n-10) +89*a(n-11) +73*a(n-12) +177*a(n-13) +22*a(n-14) -64*a(n-15) -24*a(n-16)

Example

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

Crossrefs

Sequence in context: A357085 A224149 A055404 * A223919 A263952 A281394

Adjacent sequences: A223943 A223944 A223945 * A223947 A223948 A223949

Keyword

nonn

Author

R. H. Hardin Mar 29 2013

Status

approved