A198475 Number of 2nX4 0..2 arrays with values 0..2 introduced in row major order and each element equal to an odd number of horizontal and vertical neighbors

12, 252, 6104, 153222, 3935188, 101884208, 2646874462, 68861880812, 1792520780552, 46671361129270, 1215282911633348, 31646146096635168, 824083171352362894, 21459718004443762012, 558827923845866912376

Offset

1,1

Comments

Column 2 of A198477

Links

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

Formula

Empirical: a(n) = 45*a(n-1) -520*a(n-2) -74*a(n-3) +16486*a(n-4) +129736*a(n-5) -1095201*a(n-6) -2191939*a(n-7) +10377776*a(n-8) +9527308*a(n-9) +306527440*a(n-10) +393254288*a(n-11) -3528330816*a(n-12) -16775802368*a(n-13) -71215672320*a(n-14) +113359953920*a(n-15) +1277760061440*a(n-16) +1211880046592*a(n-17) +3312362192896*a(n-18) -7949471711232*a(n-19) -128862239326208*a(n-20) -76892799500288*a(n-21) -597198022639616*a(n-22) +1365043685883904*a(n-23) +15832967439974400*a(n-24) -12508044277579776*a(n-25) -66428094503714816*a(n-26) +72057594037927936*a(n-27)

Example

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

Crossrefs

Sequence in context: A210484 A099139 A289565 * A035013 A065583 A129585

Adjacent sequences: A198472 A198473 A198474 * A198476 A198477 A198478

Keyword

nonn

Author

R. H. Hardin Oct 25 2011

Status

approved