A183831 Number of (n+1)X5 0..2 arrays with each element of every 2X2 subblock being the sum mod 3 of two others

2215, 35755, 568635, 9622587, 159806751, 2720843743, 45786104591, 778858637315, 13166815842739, 223691739484723, 3788413841140399, 64309352474447383, 1089984001113489231, 18494693855207151375, 313579105712671929263

Offset

1,1

Comments

Column 4 of A183836

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n)=26*a(n-1)+119*a(n-2)-7531*a(n-3)+23893*a(n-4)+776328*a(n-5)-4800887*a(n-6)-38493084*a(n-7)+344809441*a(n-8)+974152503*a(n-9)-13700857681*a(n-10)-8860424046*a(n-11)+343796892778*a(n-12)-188488045083*a(n-13)-5790758447607*a(n-14)+7705680434573*a(n-15)+67411241611972*a(n-16)-130462252074517*a(n-17)-547008444286672*a(n-18)+1369020725743551*a(n-19)+3057883963897003*a(n-20)-9730105264936252*a(n-21)-11256522608599090*a(n-22)+48261502644656977*a(n-23)+23529350480053399*a(n-24)-168346984626645115*a(n-25)-6651456546948607*a(n-26)+411059484042250695*a(n-27)-113834780526902520*a(n-28)-692712698150645069*a(n-29)+355001955391504793*a(n-30)+787018119208179512*a(n-31)-551721716293864142*a(n-32)-582856570966236067*a(n-33)+507847622895532706*a(n-34)+268714131704766759*a(n-35)-283831086695189963*a(n-36)-72587648690696584*a(n-37)+94572732685164772*a(n-38)+10756266577149276*a(n-39)-17832645156705282*a(n-40)-931354857086454*a(n-41)+1699966026109906*a(n-42)+80198536429136*a(n-43)-62381373768736*a(n-44)-4501945996360*a(n-45)+231717656880*a(n-46)-2387036672*a(n-47)+897024*a(n-48)

Example

Some solutions for 3X5
..0..2..1..2..0....2..2..0..1..2....0..2..1..2..1....1..1..0..2..0
..1..2..0..2..1....1..1..2..1..2....2..1..0..1..0....2..2..1..1..2
..0..1..2..1..2....2..0..2..1..0....0..1..2..1..2....1..0..2..0..2

Crossrefs

Sequence in context: A259892 A337160 A138079 * A234867 A234862 A245949

Adjacent sequences: A183828 A183829 A183830 * A183832 A183833 A183834

Keyword

nonn

Author

R. H. Hardin Jan 07 2011

Status

approved