A210121 Number of (n+1)X5 0..3 arrays with every 2X2 subblock having two or four distinct values, and new values 0..3 introduced in row major order

1702, 67585, 2737637, 112952832, 4697571356, 196165653701, 8207720539895, 343746384294748, 14403093376772686, 603631646240869795, 25300922171612628613, 1060533143275058597698, 44455313278746271463860

Offset

1,1

Comments

Column 4 of A210125

Links

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

Formula

Empirical: a(n) = 141*a(n-1) -8198*a(n-2) +253738*a(n-3) -4335309*a(n-4) +32611874*a(n-5) +157688600*a(n-6) -5437672761*a(n-7) +36928322026*a(n-8) +83941972327*a(n-9) -2464848791357*a(n-10) +9124034875173*a(n-11) +44643161090659*a(n-12) -414287245723988*a(n-13) +262608188246587*a(n-14) +7036524500964441*a(n-15) -20010090198986748*a(n-16) -50185720102385860*a(n-17) +297025017732022298*a(n-18) -12166482614864127*a(n-19) -2113652091258962343*a(n-20) +2578106152249137798*a(n-21) +7413880335295292258*a(n-22) -16987198032741714548*a(n-23) -8671411692524928056*a(n-24) +47832952152931113904*a(n-25) -14816478656035432480*a(n-26) -59506249302871243584*a(n-27) +41824818916778774144*a(n-28) +31132444427347390464*a(n-29) -30477970804737948672*a(n-30) -6891809323783357440*a(n-31) +8557544201912217600*a(n-32) +775832334266744832*a(n-33) -874925791882149888*a(n-34) -47572976371728384*a(n-35) +24066999773429760*a(n-36)

Example

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

Crossrefs

Sequence in context: A263344 A159464 A166400 * A345506 A345782 A157287

Adjacent sequences: A210118 A210119 A210120 * A210122 A210123 A210124

Keyword

nonn

Author

R. H. Hardin Mar 17 2012

Status

approved