A205435 Number of (n+1)X4 0..3 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..3 introduced in row major order

443, 10275, 302148, 10308161, 375775257, 14089784418, 534222700494, 20344347242650, 776078866294049, 29624881788204184, 1131149173680436232, 43194361906664947639, 1649496572765035824729, 62991579705321975196437

Offset

1,1

Comments

Column 3 of A205440

Links

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

Formula

Empirical: a(n) = 84*a(n-1) -2478*a(n-2) +31310*a(n-3) -105688*a(n-4) -1447728*a(n-5) +16566156*a(n-6) -52644616*a(n-7) -112948204*a(n-8) +1286364942*a(n-9) -3365762496*a(n-10) +989417336*a(n-11) +13822996149*a(n-12) -35396231412*a(n-13) +42837090738*a(n-14) -29104419996*a(n-15) +11035031040*a(n-16) -2101181472*a(n-17) +147246336*a(n-18)

Example

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

Crossrefs

Sequence in context: A293978 A345307 A205604 * A098254 A242540 A111496

Adjacent sequences: A205432 A205433 A205434 * A205436 A205437 A205438

Keyword

nonn

Author

R. H. Hardin Jan 27 2012

Status

approved