A232147 Number of n X 4 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, diagonally or antidiagonally.

15, 1299, 67725, 3409361, 177194147, 9181257593, 475203378037, 24603676419865, 1273862365412567, 65953469881024617, 3414709863495247187, 176795083880911066285, 9153485056416819219765, 473917527399880366302693

Offset

1,1

Comments

Column 4 of A232149.

Links

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

Formula

Empirical: a(n) = 35*a(n-1) +649*a(n-2) +10479*a(n-3) +50649*a(n-4) -148850*a(n-5) -4594482*a(n-6) -29446017*a(n-7) -109126913*a(n-8) -189857827*a(n-9) +786606763*a(n-10) +4637371935*a(n-11) +5864860064*a(n-12) -12212688755*a(n-13) -42763674878*a(n-14) -28294485410*a(n-15) +57477014048*a(n-16) +126547355711*a(n-17) +64552653143*a(n-18) -60155915760*a(n-19) -96981273076*a(n-20) -64212382080*a(n-21) -123120194790*a(n-22) -55873185285*a(n-23) -22972924737*a(n-24) +79085877984*a(n-25) +44270889165*a(n-26) +95126815696*a(n-27) +10764163372*a(n-28) +18110185584*a(n-29) -9929666880*a(n-30) -6320643840*a(n-31) +1858775040*a(n-32).

Example

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

Crossrefs

Cf. A232149.

Sequence in context: A220179 A166330 A300618 * A232288 A183550 A071972

Adjacent sequences: A232144 A232145 A232146 * A232148 A232149 A232150

Keyword

nonn

Author

R. H. Hardin, Nov 19 2013

Status

approved