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.

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

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

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

Adjacent sequences: A232907 A232908 A232909 * A232911 A232912 A232913

Keyword

nonn

Author

R. H. Hardin, Dec 02 2013

Status

approved