A234374 Number of (n+2)X(1+2) 0..2 arrays with no increasing sequence of length 3 horizontally or diagonally downwards

16584, 372690, 8280018, 183669567, 4070647527, 90202925160, 1998695595393, 44285957330064, 981257012375877, 21741969563527710, 481742279623346310, 10674083235829126662, 236508300027959898666, 5240372784459502455399

Offset

1,1

Comments

Column 1 of A234380

Links

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

Formula

Empirical: a(n) = 25*a(n-1) -a(n-2) -1496*a(n-3) +1581*a(n-4) +26414*a(n-5) -21436*a(n-6) -163909*a(n-7) +88557*a(n-8) +442265*a(n-9) -137417*a(n-10) -545671*a(n-11) +88129*a(n-12) +301041*a(n-13) -29854*a(n-14) -68212*a(n-15) +5810*a(n-16) +3264*a(n-17) -396*a(n-18) +36*a(n-19)

Example

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

Crossrefs

Sequence in context: A283028 A344241 A344242 * A234380 A234381 A236638

Adjacent sequences: A234371 A234372 A234373 * A234375 A234376 A234377

Keyword

nonn

Author

R. H. Hardin, Dec 25 2013

Status

approved