A233839 Number of (n+2)X(2+2) 0..3 arrays with no increasing sequence of length 3 horizontally or antidiagonally downwards

9828513, 1909001345, 370375897185, 71859538054209, 13941925875538977, 2704962047095586817, 524806929418457507809, 101821137847262670246849, 19754968023727982058488737, 3832787276517112114621527937

Offset

1,1

Comments

Column 2 of A233845

Links

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

Formula

Empirical: a(n) = 194*a(n-1) +391*a(n-2) -76048*a(n-3) +118072*a(n-4) +7556256*a(n-5) -39208720*a(n-6) +56369152*a(n-7) -6830080*a(n-8) -8534016*a(n-9) -7110656*a(n-10) +3670016*a(n-11) -65536*a(n-12)

Example

Some solutions for n=1
..0..0..0..0....0..0..0..1....0..0..0..0....0..0..0..1....0..0..0..1
..0..0..3..1....3..2..0..1....2..3..3..2....1..3..1..3....0..0..2..0
..3..2..3..2....0..0..1..1....0..2..2..2....3..3..3..3....2..1..2..1

Crossrefs

Sequence in context: A339478 A072867 A034606 * A059044 A366414 A303447

Adjacent sequences: A233836 A233837 A233838 * A233840 A233841 A233842

Keyword

nonn

Author

R. H. Hardin, Dec 16 2013

Status

approved