A210161 Number of (n+1)X5 0..3 arrays with every 2X2 subblock having two or three distinct values, and new values 0..3 introduced in row major order

27720, 17864271, 11572169594, 7497695247894, 4857832789667601, 3147440073860364317, 2039258946769923053510, 1321256944854221652586980, 856056028090645842341607753, 554647546859512237920284437315

Offset

1,1

Comments

Column 4 of A210165

Links

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

Formula

Empirical: a(n) = 651*a(n-1) +2491*a(n-2) -3033274*a(n-3) +75213828*a(n-4) +2871779009*a(n-5) -168547329017*a(n-6) +3025868330721*a(n-7) -14913244152146*a(n-8) -227860409342090*a(n-9) +3284704577622354*a(n-10) -4647468768394855*a(n-11) -151912308978989829*a(n-12) +746051218249104195*a(n-13) +2759862594209092375*a(n-14) -24875375814765882871*a(n-15) -12826708391148092367*a(n-16) +412811120432989292070*a(n-17) -271333439668914274397*a(n-18) -3949195606845988432506*a(n-19) +4878572324314521633479*a(n-20) +22621015632021698182303*a(n-21) -35706585467435371532954*a(n-22) -76058853813329983983298*a(n-23) +141387729457080507256936*a(n-24) +137247708151497848656089*a(n-25) -312567964628714713985554*a(n-26) -99662573283231077847331*a(n-27) +367361272953844857693772*a(n-28) -21661696257415105631489*a(n-29) -209997903963825729024970*a(n-30) +56676111775642707907746*a(n-31) +53600108892623612777764*a(n-32) -22156986755762524106826*a(n-33) -5080148629481596023904*a(n-34) +3198197489711999573012*a(n-35) +14089783129953149268*a(n-36) -171981655847047928312*a(n-37) +15964369340316597080*a(n-38) +1991492927343812928*a(n-39) -247274191930612320*a(n-40)

Example

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

Crossrefs

Sequence in context: A307114 A291458 A023943 * A358414 A096027 A249000

Adjacent sequences: A210158 A210159 A210160 * A210162 A210163 A210164

Keyword

nonn

Author

R. H. Hardin Mar 18 2012

Status

approved