A232512 Number of (n+1)X(5+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

74, 250, 1730, 10118, 64290, 399122, 2523098, 15907690, 100603770, 636270550, 4026503762, 25483526018, 161305309394, 1021070935782, 6463641254302, 40917054779762, 259021102980902, 1639712263959994, 10380090197352550

Offset

1,1

Comments

Column 5 of A232515

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +10*a(n-2) -35*a(n-3) -84*a(n-4) -100*a(n-5) +131*a(n-6) +280*a(n-7) +161*a(n-8) -211*a(n-9) -243*a(n-10) -44*a(n-11) +85*a(n-12) -8*a(n-13) -20*a(n-14) -16*a(n-15) +6*a(n-16) +4*a(n-17) -a(n-18) for n>19

Example

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

Crossrefs

Sequence in context: A204361 A204354 A223907 * A046833 A205754 A238022

Adjacent sequences: A232509 A232510 A232511 * A232513 A232514 A232515

Keyword

nonn

Author

R. H. Hardin, Nov 25 2013

Status

approved