A224036 Number of nX6 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing

7, 34, 119, 363, 1064, 3107, 9125, 26928, 79800, 237348, 708163, 2118654, 6353180, 19088180, 57442255, 173085671, 522085599, 1576088206, 4761041486, 14389487483, 43507313943, 131587493711, 398081815019, 1204514245101, 3645147239577

Offset

1,1

Comments

Column 6 of A224038

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -15*a(n-2) +6*a(n-3) +11*a(n-4) -4*a(n-5) -7*a(n-6) +6*a(n-7) -6*a(n-8) +8*a(n-9) -8*a(n-10) +16*a(n-11) for n>13

Example

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

Crossrefs

Sequence in context: A024817 A201230 A071598 * A120470 A377883 A036423

Adjacent sequences: A224033 A224034 A224035 * A224037 A224038 A224039

Keyword

nonn

Author

R. H. Hardin Mar 30 2013

Status

approved