A203096 Number of nX3 0..3 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor

16, 1080, 48552, 2029744, 87531478, 3790420430, 163621176194, 7062389921398, 304924052795176, 13165093367601574, 568388578666214512, 24539653368720439680, 1059478958509288348530, 45742091639005479963848

Offset

1,1

Comments

Column 3 of A203101

Links

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

Formula

Empirical: a(n) = 50*a(n-1) -535*a(n-2) +11739*a(n-3) -81311*a(n-4) +952118*a(n-5) +111609*a(n-6) +23983533*a(n-7) -3575174*a(n-8) -48024160*a(n-9) -3036762623*a(n-10) -9698998582*a(n-11) -75254884745*a(n-12) -75786404331*a(n-13) +371496113408*a(n-14) +937086665510*a(n-15) +4071380170270*a(n-16) +3207519674660*a(n-17) -35547187154396*a(n-18) -50104627883832*a(n-19) +46707082317648*a(n-20) +99704384719248*a(n-21) +189399657391776*a(n-22) +190022854545216*a(n-23) -666178095939264*a(n-24) -983552499278784*a(n-25) +737232848225280*a(n-26) +1440464494146048*a(n-27) -239620376715264*a(n-28) -944613888076800*a(n-29) -83452415201280*a(n-30) +280410806292480*a(n-31) +62187583832064*a(n-32) -30045400989696*a(n-33) -8916100448256*a(n-34)

Example

Some solutions for n=5
..1..0..0....2..1..0....1..3..0....0..0..3....1..2..1....1..1..1....0..3..3
..3..2..1....3..3..3....0..3..2....0..1..3....3..2..0....2..2..3....2..3..1
..3..3..3....3..3..2....0..1..2....2..0..2....3..2..2....0..3..3....1..0..3
..3..3..0....1..3..1....0..1..1....2..1..0....0..1..0....0..0..3....2..1..3
..1..1..1....3..3..0....2..3..3....3..3..2....0..1..0....3..3..2....2..3..3

Crossrefs

Sequence in context: A281984 A266066 A232571 * A210822 A265622 A144915

Adjacent sequences: A203093 A203094 A203095 * A203097 A203098 A203099

Keyword

nonn

Author

R. H. Hardin Dec 29 2011

Status

approved