A234062 Number of (n+2)X(2+2) 0..3 arrays with no increasing sequence of length 3 horizontally or diagonally downwards

10268904, 2080660489, 421353160493, 85328128508052, 17279764673423169, 3499319084107297293, 708645907915267154424, 143507640770514333002353, 29061683344342267418827653, 5885271574216267853064738868

Offset

1,1

Comments

Column 2 of A234068

Links

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

Formula

Empirical: a(n) = 225*a(n-1) -3940*a(n-2) -138439*a(n-3) +2762487*a(n-4) +16840240*a(n-5) -484621912*a(n-6) +1589928752*a(n-7) +9951132784*a(n-8) -36287398656*a(n-9) -304998736896*a(n-10) +2007494414336*a(n-11) -4224465420288*a(n-12) +3250940870656*a(n-13) -366247673856*a(n-14)

Example

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

Crossrefs

Sequence in context: A030093 A188755 A328939 * A235723 A118213 A205893

Adjacent sequences: A234059 A234060 A234061 * A234063 A234064 A234065

Keyword

nonn

Author

R. H. Hardin, Dec 19 2013

Status

approved