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

9405, 2718363, 735082380, 198214365329, 53426795638847, 14400521616297866, 3881469256766776348, 1046198451409469003484, 281988882426835921498964, 76006354002581988645981865, 20486502156045158804853536455

Offset

1,1

Comments

Column 4 of A210086

Links

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

Formula

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)

Example

Some solutions for n=4
..0..0..0..1..1....0..1..0..0..0....0..1..0..1..0....0..0..0..0..0
..0..0..0..2..0....0..2..1..3..2....0..2..1..2..1....1..2..3..2..3
..3..1..2..3..2....1..1..3..0..3....3..2..3..0..1....0..2..1..0..1
..2..1..3..0..2....2..3..0..1..0....1..1..1..2..1....2..1..3..2..1
..0..1..0..1..3....2..1..3..2..0....2..3..0..1..3....3..0..3..1..0

Crossrefs

Sequence in context: A362879 A183733 A290424 * A330838 A064587 A275922

Adjacent sequences: A210079 A210080 A210081 * A210083 A210084 A210085

Keyword

nonn

Author

R. H. Hardin Mar 17 2012

Status

approved