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 A205287 Number of (n+1) X 3 0..2 arrays with permanents of 2 X 2 subblocks differing from horizontal and vertical neighbor permanents. 1

%I

%S 476,4836,45914,426086,3972556,37114078,346714732,3237486306,

%T 30230183516,282305473276,2636314038108,24618705261436,

%U 229897151530304,2146862068737044,20048162744149976,187216665973680704

%N Number of (n+1) X 3 0..2 arrays with permanents of 2 X 2 subblocks differing from horizontal and vertical neighbor permanents.

%H R. H. Hardin, <a href="/A205287/b205287.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 22*a(n-2) +279*a(n-3) +2320*a(n-4) +7325*a(n-5) +12556*a(n-6) -51279*a(n-7) -590177*a(n-8) -1833703*a(n-9) -2614972*a(n-10) +7352710*a(n-11) +70297378*a(n-12) +177302112*a(n-13) +98916360*a(n-14) -851338305*a(n-15) -4034342229*a(n-16) -6552791409*a(n-17) +4751864746*a(n-18) +44921050801*a(n-19) +88691971495*a(n-20) +9633752090*a(n-21) -239286047862*a(n-22) -569956342534*a(n-23) -309445183824*a(n-24) +1769737409734*a(n-25) +1058213619373*a(n-26) -2724259558572*a(n-27) -2377351079923*a(n-28) -15104678952027*a(n-29) +9612493659296*a(n-30) +69366218804618*a(n-31) +16985716577606*a(n-32) +64319982565720*a(n-33) -77434596102941*a(n-34) -402669184079140*a(n-35) +98275961917420*a(n-36) -307680648917635*a(n-37) -13544584663565*a(n-38) +888716198878970*a(n-39) -1489105566363021*a(n-40) +984914987115435*a(n-41) -11149182316534*a(n-42) +215725223372976*a(n-43) +4725176513212251*a(n-44) -694302590651162*a(n-45) +5011026262412361*a(n-46) -3631958309433376*a(n-47) +8525010167227720*a(n-48) -5292348148728917*a(n-49) +8496793851779663*a(n-50) +8328674833210444*a(n-51) -18389722132200385*a(n-52) +37224897940479114*a(n-53) -44268975396593159*a(n-54) +37113056918061524*a(n-55) -19908013971890284*a(n-56) -13221743549732005*a(n-57) +36732267764837544*a(n-58) -40688870903272654*a(n-59) +22178982189613447*a(n-60) +31821228718710768*a(n-61) -97780793569714224*a(n-62) +149970452784981334*a(n-63) -155237788080418475*a(n-64) +105315665475922953*a(n-65) -43154682698593079*a(n-66) -6228250039980914*a(n-67) +35960175966869167*a(n-68) -47571703983252260*a(n-69) +32469005005425122*a(n-70) -12204293705528322*a(n-71) -3750697874974749*a(n-72) +5474445082366456*a(n-73) -5056088944691868*a(n-74) +6498373444305800*a(n-75) -1907820953730520*a(n-76) +975137557006064*a(n-77) -939505351246368*a(n-78) +554635898990816*a(n-79) -672397448635264*a(n-80) +134933060529024*a(n-81) +105013710510336*a(n-82) -43036433954304*a(n-83) +4003986441216*a(n-84) for n>88

%e Some solutions for n=4

%e ..0..1..1....0..0..2....1..2..0....0..1..2....2..1..1....1..0..2....2..1..2

%e ..0..1..1....1..2..0....1..2..0....2..0..1....1..0..2....0..1..2....2..2..1

%e ..1..2..1....1..2..0....1..1..1....2..2..1....2..2..1....0..1..1....2..2..1

%e ..0..2..1....2..2..1....1..1..2....2..1..0....2..2..2....1..1..1....1..2..0

%e ..2..2..2....2..2..1....2..1..2....2..0..0....0..0..1....2..0..0....1..1..2

%Y Column 2 of A205293.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 25 2012

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Last modified April 16 18:53 EDT 2021. Contains 343050 sequences. (Running on oeis4.)