A232513 Number of (n+1)X(6+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal

218, 2138, 32084, 475086, 7059918, 105188684, 1567758430, 23370338858, 348398002228, 5193906376594, 77431106991878, 1154350781027576, 17209191945759830, 256556650614541986, 3824776991654707328

Offset

1,1

Comments

Column 6 of A232515

Links

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

Formula

Empirical: a(n) = 14*a(n-1) +30*a(n-2) -143*a(n-3) -1404*a(n-4) -2393*a(n-5) +5517*a(n-6) +38646*a(n-7) +66216*a(n-8) -34629*a(n-9) -366946*a(n-10) -605363*a(n-11) +86093*a(n-12) +1657298*a(n-13) +2182862*a(n-14) -1156673*a(n-15) -5426670*a(n-16) -4192777*a(n-17) +4432272*a(n-18) +9466587*a(n-19) +1725277*a(n-20) -7428359*a(n-21) -5589828*a(n-22) +2295907*a(n-23) +5194318*a(n-24) -2687898*a(n-25) -589780*a(n-26) +2181730*a(n-27) -725302*a(n-28) -1281328*a(n-29) +333774*a(n-30) +182068*a(n-31) +524637*a(n-32) -358732*a(n-33) -126109*a(n-34) +286948*a(n-35) -177863*a(n-36) -38638*a(n-37) +75183*a(n-38) -21956*a(n-39) +8067*a(n-40) +2234*a(n-41) -7304*a(n-42) +1797*a(n-43) +293*a(n-44) -72*a(n-45) +160*a(n-46) -60*a(n-47) -10*a(n-48) +4*a(n-49)

Example

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

Crossrefs

Sequence in context: A292545 A321115 A253732 * A224741 A209824 A230333

Adjacent sequences: A232510 A232511 A232512 * A232514 A232515 A232516

Keyword

nonn

Author

R. H. Hardin, Nov 25 2013

Status

approved