A234063 Number of (n+2)X(3+2) 0..3 arrays with no increasing sequence of length 3 horizontally or diagonally downwards

502595832, 357463146593, 253278425289056, 179447238884491424, 127129186239945486040, 90064264677749142193281, 63805657270446400634564696, 45202850685035855468789538384

Offset

1,1

Comments

Column 3 of A234068

Links

R. H. Hardin, Table of n, a(n) for n = 1..158

Formula

Empirical: a(n) = 840*a(n-1) -84496*a(n-2) -7710720*a(n-3) +1097498849*a(n-4) +3215278384*a(n-5) -3861884496640*a(n-6) +93355469269024*a(n-7) +3468441640851968*a(n-8) -157807682018518016*a(n-9) +619686126560827648*a(n-10) +39610637987442016256*a(n-11) +181064056855695355904*a(n-12) -27663313912839138836480*a(n-13) +406334877684219874639872*a(n-14) -1242837220175106952658944*a(n-15) -18412584309292561172791296*a(n-16) +153410774223294112271958016*a(n-17) -73784055313680055991795712*a(n-18) -2693675834564383716707139584*a(n-19) +7361711549544329081222332416*a(n-20) +3687281116823241726260936704*a(n-21) -26702385345128976564604633088*a(n-22) +17118129025375661530120454144*a(n-23) +7657385089689813196161941504*a(n-24) -9023567714552150762541023232*a(n-25) +1858880904453219522415951872*a(n-26)

Example

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

Crossrefs

Sequence in context: A216011 A101641 A227798 * A210155 A348798 A203261

Adjacent sequences: A234060 A234061 A234062 * A234064 A234065 A234066

Keyword

nonn

Author

R. H. Hardin, Dec 19 2013

Status

approved