A210048 Number of (n+1)X5 0..2 arrays containing all values 0..2 with every 2X2 subblock having two distinct values, and new values 0..2 introduced in row major order

475, 12377, 332891, 8989701, 240224641, 6356262535, 166752843125, 4344981788295, 112605356395583, 2905874746795745, 74734699001382433, 1916868366238281647, 49059100825999735487, 1253394404988516740191

Offset

1,1

Comments

Column 4 of A210052

Links

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

Formula

Empirical: a(n) = 58*a(n-1) -992*a(n-2) +1114*a(n-3) +104383*a(n-4) -609244*a(n-5) -3158300*a(n-6) +31872941*a(n-7) +14255768*a(n-8) -695247797*a(n-9) +851352494*a(n-10) +7722215712*a(n-11) -17461446135*a(n-12) -44607174085*a(n-13) +153341052250*a(n-14) +107386696583*a(n-15) -724717887559*a(n-16) +133505885446*a(n-17) +1890011566228*a(n-18) -1409205824752*a(n-19) -2511295843328*a(n-20) +3234462976416*a(n-21) +1147782485632*a(n-22) -3211415530368*a(n-23) +620083812608*a(n-24) +1267243773440*a(n-25) -658602110976*a(n-26) -85186113536*a(n-27) +120800202752*a(n-28) -16266002432*a(n-29) -5194055680*a(n-30) +1509949440*a(n-31) -104857600*a(n-32)

Example

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

Crossrefs

Sequence in context: A165463 A252518 A365871 * A263705 A048428 A253395

Adjacent sequences: A210045 A210046 A210047 * A210049 A210050 A210051

Keyword

nonn

Author

R. H. Hardin Mar 16 2012

Status

approved