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A203096 Number of nX3 0..3 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor 1
16, 1080, 48552, 2029744, 87531478, 3790420430, 163621176194, 7062389921398, 304924052795176, 13165093367601574, 568388578666214512, 24539653368720439680, 1059478958509288348530, 45742091639005479963848 (list; graph; refs; listen; history; text; internal format)
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: A195619 A029701 A232571 * A210822 A144915 A209541

Adjacent sequences:  A203093 A203094 A203095 * A203097 A203098 A203099

KEYWORD

nonn

AUTHOR

R. H. Hardin Dec 29 2011

STATUS

approved

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Last modified October 23 05:26 EDT 2014. Contains 248411 sequences.