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A207196 Number of nX3 0..2 arrays avoiding the pattern z-1 z-1 z in any row or column 1
25, 625, 12534, 247002, 4841210, 94815963, 1858463962, 36432515728, 714296094954, 14004808504521, 274586566648434, 5383711555276632, 105556307341848307, 2069600579240974133, 40577832819063923601 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A207201

LINKS

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

FORMULA

Empirical: a(n) = 25*a(n-1) -48*a(n-2) -1468*a(n-3) +4228*a(n-4) +58087*a(n-5) -184932*a(n-6) -1165366*a(n-7) +3539838*a(n-8) +16449489*a(n-9) -43427901*a(n-10) -70826176*a(n-11) +249121716*a(n-12) +96296868*a(n-13) -861260208*a(n-14) -223911709*a(n-15) +2626398112*a(n-16) +898390509*a(n-17) -7420210932*a(n-18) -99776771*a(n-19) +15841428878*a(n-20) -1482004027*a(n-21) -27899116782*a(n-22) -2095158477*a(n-23) +49319804695*a(n-24) -6637061682*a(n-25) -69608869207*a(n-26) +25701110196*a(n-27) +66064467544*a(n-28) -11014179568*a(n-29) -64870125327*a(n-30) +14474720064*a(n-31) +71767151733*a(n-32) -58116210928*a(n-33) -42714615614*a(n-34) +51889023154*a(n-35) +6545107206*a(n-36) -18403480596*a(n-37) +2906099248*a(n-38) +1495371375*a(n-39) -2067527924*a(n-40) +1607739413*a(n-41) +223733829*a(n-42) -430305448*a(n-43) +52018089*a(n-44) +34503360*a(n-45) -21222282*a(n-46) +11329488*a(n-47) -549645*a(n-48) +244841*a(n-49) +124037*a(n-50) -98499*a(n-51) +17892*a(n-52) -5820*a(n-53) +240*a(n-54)

EXAMPLE

Some solutions for n=4

..2..2..2....1..1..0....0..0..2....2..0..1....2..0..2....2..1..0....1..0..1

..1..2..1....1..1..1....0..0..2....2..0..2....1..1..1....0..1..1....2..0..2

..0..2..2....0..1..2....0..0..0....1..0..2....1..0..0....1..0..2....0..2..2

..0..0..2....2..1..2....2..2..0....1..2..1....1..2..2....1..2..2....2..0..2

CROSSREFS

Sequence in context: A206729 A207353 A207984 * A207216 A171299 A009969

Adjacent sequences:  A207193 A207194 A207195 * A207197 A207198 A207199

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 15 2012

STATUS

approved

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Last modified March 2 12:24 EST 2021. Contains 341750 sequences. (Running on oeis4.)