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A232910
Number of (2+1) X (n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally.
1
4, 34, 320, 2958, 27692, 250934, 2338508, 21159320, 192619880, 1767181410, 16165706444, 147550684090, 1348528674604, 12330783808396, 112700663242560, 1029964489404282, 9413986758909060, 86046903897714270, 786467010156728596
OFFSET
1,1
COMMENTS
Row 2 of A232908.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) +22*a(n-2) +284*a(n-3) +1034*a(n-4) +1536*a(n-5) -10076*a(n-6) -58252*a(n-7) +51408*a(n-8) +498496*a(n-9) -391702*a(n-10) -7998492*a(n-11) -4700227*a(n-12) +44572282*a(n-13) -40476506*a(n-14) -186165084*a(n-15) +241000952*a(n-16) +553905740*a(n-17) +53162532*a(n-18) -1539394488*a(n-19) +525708784*a(n-20) +2909661120*a(n-21) -4710162944*a(n-22) +146430976*a(n-23) +3625709568*a(n-24) -4520968192*a(n-25) +1704722432*a(n-26) -506986496*a(n-27) -700448768*a(n-28) +167772160*a(n-29) for n>30.
EXAMPLE
Some solutions for n=5
..0..1..2..2..1..2....2..1..2..2..1..0....2..1..1..2..0..1....0..1..2..0..2..1
..2..2..1..0..0..0....0..1..0..2..1..0....0..0..0..1..2..2....2..2..1..2..0..2
..0..1..2..1..1..2....2..0..1..2..1..2....0..1..2..2..1..0....2..1..0..0..1..2
CROSSREFS
Cf. A232908.
Sequence in context: A036352 A005569 A370171 * A208215 A337390 A025572
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 02 2013
STATUS
approved