A209460 Number of nX3 0..6 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..6 introduced in row major order

5, 57, 2027, 107472, 7487423, 613535578, 54657856108, 5063931781244, 477499692659113, 45377744955417080, 4327164788760402815, 413256848215007047168, 39493493565836673722433, 3775359326879189119846436

Offset

1,1

Comments

Column 3 of A209465

Links

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

Formula

Empirical: a(n) = 172*a(n-1) -8737*a(n-2) +125848*a(n-3) +1640003*a(n-4) -58941308*a(n-5) +441046249*a(n-6) +799433456*a(n-7) -23572369886*a(n-8) +84702514904*a(n-9) +67645214404*a(n-10) -904101250144*a(n-11) +1363565491464*a(n-12) +425476260576*a(n-13) -2084864162400*a(n-14) +1100743344000*a(n-15) -104976000000*a(n-16) for n>17

Example

Some solutions for n=4
..0..0..0....0..1..0....0..0..1....0..1..1....0..0..0....0..0..0....0..0..0
..1..2..1....0..2..0....1..2..2....0..2..0....1..2..1....1..2..3....1..2..1
..3..1..0....0..3..3....0..0..1....0..1..0....3..3..3....0..0..0....0..0..2
..0..1..2....0..1..0....1..2..0....0..2..2....4..5..1....4..2..4....1..2..1

Crossrefs

Sequence in context: A009481 A209498 A209739 * A209522 A213796 A086060

Adjacent sequences: A209457 A209458 A209459 * A209461 A209462 A209463

Keyword

nonn

Author

R. H. Hardin Mar 09 2012

Status

approved