A198288 Number of 2nX4 0..3 arrays with values 0..3 introduced in row major order and each element equal to exactly one horizontal and vertical neighbor

17, 2452, 413375, 72559212, 12940532183, 2322145946560, 417688220022251, 75197892524349728, 13542776983363615379, 2439305921057059368196, 439386062130801234903655, 79146996287674677581757652

Offset

1,1

Comments

Column 2 of A198290

Links

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

Formula

Empirical: a(n) = 341*a(n-1) -38970*a(n-2) +2135218*a(n-3) -67448667*a(n-4) +1375490159*a(n-5) -19754442612*a(n-6) +216233988876*a(n-7) -1930500555319*a(n-8) +14641614117891*a(n-9) -95232147538058*a(n-10) +525211971434290*a(n-11) -2391181584630749*a(n-12) +8566626104248057*a(n-13) -21804187934100424*a(n-14) +26325592371676176*a(n-15) +62458261081740144*a(n-16) -409636534740954048*a(n-17) +948362811460747776*a(n-18) -580420633538230272*a(n-19) -2477378037254639616*a(n-20) +6262481237853487104*a(n-21) -5586587527536967680*a(n-22) +1769580684990480384*a(n-23)

Example

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

Crossrefs

Sequence in context: A221322 A135505 A171704 * A092814 A198594 A138199

Adjacent sequences: A198285 A198286 A198287 * A198289 A198290 A198291

Keyword

nonn

Author

R. H. Hardin Oct 23 2011

Status

approved