login
A232909
Number of (1+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
0, 10, 52, 82, 432, 2372, 8456, 29970, 132972, 547554, 2102096, 8441132, 34612080, 138342906, 551613860, 2224984018, 8958729072, 35906450644, 144189580120, 579895060802, 2329383080028, 9353592833314, 37582177354512, 151003083442364
OFFSET
1,2
LINKS
FORMULA
Empirical: a(n) = 4*a(n-2) + 28*a(n-3) + 80*a(n-4) + 48*a(n-5) - 67*a(n-6) - 228*a(n-7) - 224*a(n-8).
Empirical g.f.: 2*x^2*(5 + 26*x + 21*x^2 - 28*x^3 - 106*x^4 - 104*x^5) / ((1 + x + 7*x^2)*(1 - x - 10*x^2 - 11*x^3 + x^4 + 28*x^5 + 32*x^6)). - Colin Barker, Oct 06 2018
EXAMPLE
Some solutions for n=5:
..0..1..0..0..1..0....2..1..2..0..1..0....2..1..0..2..1..0....2..1..0..0..1..2
..2..0..1..2..1..2....0..1..0..2..1..0....0..1..2..2..1..2....2..1..1..2..1..0
CROSSREFS
Row 1 of A232908.
Sequence in context: A362673 A041186 A058827 * A028994 A257042 A092966
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 02 2013
STATUS
approved