A210409 Number of (n+1)X5 0..3 arrays with every 2X2 subblock having three or four distinct values, and new values 0..3 introduced in row major order

9576, 2574592, 677993552, 178971208720, 47230418649056, 12464482425454304, 3289463792785895520, 868112796901730209328, 229101105240473375413568, 60461401929182464236989616, 15956191555192198665777462352

Offset

1,1

Comments

Column 4 of A210413

Links

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

Formula

Empirical: a(n) = 276*a(n-1) -844*a(n-2) -647137*a(n-3) +5856940*a(n-4) +402216721*a(n-5) -5862695617*a(n-6) -54643074114*a(n-7) +1382343039112*a(n-8) -3102790608576*a(n-9) -89911455972644*a(n-10) +660007977690996*a(n-11) +263588914646272*a(n-12) -18055429128783448*a(n-13) +51374341139205968*a(n-14) +113931146918069408*a(n-15) -752286799961769696*a(n-16) +423125539061919552*a(n-17) +3650072001026978048*a(n-18) -6040761986311450112*a(n-19) -5385080244386082816*a(n-20) +17461611564608397312*a(n-21) -2457130524259205120*a(n-22) -16604319853477298176*a(n-23) +6207057768744222720*a(n-24) +6168586199070932992*a(n-25) -2183260302370406400*a(n-26) -667625816443584512*a(n-27) +191550881093648384*a(n-28) +17950332629811200*a(n-29) -3348386568732672*a(n-30) +49529562857472*a(n-31)

Example

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

Crossrefs

Sequence in context: A254889 A133449 A275687 * A250761 A038825 A038814

Adjacent sequences: A210406 A210407 A210408 * A210410 A210411 A210412

Keyword

nonn

Author

R. H. Hardin Mar 21 2012

Status

approved