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A231140 Number of (n+1)X(3+1) 0..2 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with upper left element zero 1
570, 22870, 966000, 40511376, 1701515682, 71441888932, 2999853495524, 125962412008712, 5289116622101748, 222087986600919566, 9325390805071549900, 391569634043573451520, 16441860961110666853024, 690387527799981401957804 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A231144

LINKS

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

FORMULA

Empirical: a(n) = 43*a(n-1) -15*a(n-2) -1374*a(n-3) +10633*a(n-4) -56952*a(n-5) +114570*a(n-6) -239541*a(n-7) +3041986*a(n-8) -17861828*a(n-9) +58365458*a(n-10) -62338989*a(n-11) -251648626*a(n-12) +335697507*a(n-13) +1178413953*a(n-14) +2244379849*a(n-15) -7023078091*a(n-16) -9155731119*a(n-17) +3188972279*a(n-18) +9050748100*a(n-19) +17752695597*a(n-20) +18730586476*a(n-21) -4049075552*a(n-22) -27111946390*a(n-23) -26603876436*a(n-24) -5290500709*a(n-25) +34077168659*a(n-26) +73977083037*a(n-27) +20877757434*a(n-28) -101325400702*a(n-29) -121656003798*a(n-30) +24053746682*a(n-31) +124533338236*a(n-32) +71767911424*a(n-33) -39392055372*a(n-34) -60164690192*a(n-35) -17731852672*a(n-36) +10549750816*a(n-37) +10420762112*a(n-38) +1890718720*a(n-39) -68985344*a(n-40) -136270848*a(n-41) -103795712*a(n-42) -115070976*a(n-43) +29294592*a(n-44) +4521984*a(n-45) -1048576*a(n-46)

EXAMPLE

Some solutions for n=2

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

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

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

CROSSREFS

Sequence in context: A252466 A097035 A074907 * A268203 A268248 A246229

Adjacent sequences:  A231137 A231138 A231139 * A231141 A231142 A231143

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 04 2013

STATUS

approved

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Last modified October 20 10:21 EDT 2021. Contains 348100 sequences. (Running on oeis4.)