A232904 Number of (n+1)X(4+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally

82, 2958, 68310, 1827866, 49501666, 1295371950, 34359557398, 911287659098, 24111990771426, 638690599346926, 16916564376211478, 447986082796161306, 11864651140789377762, 314224727892695330094, 8321876493183410580246

Offset

1,1

Comments

Column 4 of A232908

Links

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

Formula

Empirical: a(n) = 15*a(n-1) +146*a(n-2) +4060*a(n-3) +3337*a(n-4) +51521*a(n-5) -1196482*a(n-6) -4066972*a(n-7) +17562664*a(n-8) +32259984*a(n-9) -75792736*a(n-10) +388808640*a(n-11) +150692992*a(n-12) -157018624*a(n-13) +430094336*a(n-14) -361963520*a(n-15) +192413696*a(n-16) -92798976*a(n-17) +16777216*a(n-18)

Example

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

Crossrefs

Sequence in context: A281603 A234253 A031606 * A230395 A017798 A035736

Adjacent sequences: A232901 A232902 A232903 * A232905 A232906 A232907

Keyword

nonn

Author

R. H. Hardin, Dec 02 2013

Status

approved