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 A210082 Number of (n+1)X5 0..3 arrays containing all values 0..3 with every 2X2 subblock having one, three or four distinct values, and new values 0..3 introduced in row major order 1

%I

%S 9405,2718363,735082380,198214365329,53426795638847,14400521616297866,

%T 3881469256766776348,1046198451409469003484,281988882426835921498964,

%U 76006354002581988645981865,20486502156045158804853536455

%N Number of (n+1)X5 0..3 arrays containing all values 0..3 with every 2X2 subblock having one, three or four distinct values, and new values 0..3 introduced in row major order

%C Column 4 of A210086

%H R. H. Hardin, <a href="/A210082/b210082.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 357*a(n-1) -24956*a(n-2) +287902*a(n-3) +26074079*a(n-4) -902939413*a(n-5) +1277468261*a(n-6) +399614425317*a(n-7) -6321060969799*a(n-8) -24184081408184*a(n-9) +1587694606642173*a(n-10) -12981021635371611*a(n-11) -72434732281423272*a(n-12) +1851336712434285028*a(n-13) -8298795143833957130*a(n-14) -55370910495748475918*a(n-15) +699885760777699195037*a(n-16) -1271589380489406898905*a(n-17) -16850531904836117165732*a(n-18) +97437529757163175050052*a(n-19) +48421575192093992037435*a(n-20) -1974487710666877857698347*a(n-21) +4494801106206276016732911*a(n-22) +15972527052167522580745893*a(n-23) -85997411174773544395221229*a(n-24) +8070664493704334395329420*a(n-25) +710134757867676419060179075*a(n-26) -1161429886184152718241829591*a(n-27) -2761558002058205806660337818*a(n-28) +9607464701171282796386424036*a(n-29) +1672650823286895899011692366*a(n-30) -38888570744662356012685589228*a(n-31) +29594770811521649020052740416*a(n-32) +85957722600879503060086236632*a(n-33) -132835061319571827563642760504*a(n-34) -91415452353353247701405254720*a(n-35) +282171566706458815056468521216*a(n-36) -6031025209778057302947810368*a(n-37) -346443281245790759531269100096*a(n-38) +139125028729243971214443853952*a(n-39) +252488578502803235293338745600*a(n-40) -172347974003740353484283547648*a(n-41) -104528726263890830851423499264*a(n-42) +103392729149084501549131203584*a(n-43) +21426153350278051580162213888*a(n-44) -33786660119662982226892468224*a(n-45) -1224295150346030527568994304*a(n-46) +6066487242636218074798030848*a(n-47) -214584923867248084083081216*a(n-48) -569047585790917406986076160*a(n-49) +30222671766403263944196096*a(n-50) +24646600389530110604083200*a(n-51) -800959542877582339866624*a(n-52) -383347881721865554624512*a(n-53)

%e Some solutions for n=4

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

%e ..0..0..0..2..0....0..2..1..3..2....0..2..1..2..1....1..2..3..2..3

%e ..3..1..2..3..2....1..1..3..0..3....3..2..3..0..1....0..2..1..0..1

%e ..2..1..3..0..2....2..3..0..1..0....1..1..1..2..1....2..1..3..2..1

%e ..0..1..0..1..3....2..1..3..2..0....2..3..0..1..3....3..0..3..1..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 17 2012

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Last modified December 4 22:42 EST 2021. Contains 349526 sequences. (Running on oeis4.)