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A246474
Number of length n+3 0..3 arrays with no pair in any consecutive four terms totalling exactly 3.
1
60, 132, 292, 644, 1420, 3132, 6908, 15236, 33604, 74116, 163468, 360540, 795196, 1753860, 3868260, 8531716, 18817292, 41502844, 91537404, 201892100, 445287044, 982111492, 2166115084, 4777517212, 10537145916, 23240406916, 51258331044
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) + a(n-3).
Empirical g.f.: 4*x*(15 + 3*x + 7*x^2) / (1 - 2*x - x^3). - Colin Barker, Nov 06 2018
EXAMPLE
Some solutions for n=6:
..2....3....2....1....0....2....1....0....0....2....1....3....2....0....2....1
..0....3....2....1....2....2....3....0....2....0....1....3....3....0....2....3
..0....2....2....0....0....2....1....0....2....2....1....3....2....0....3....1
..2....2....2....1....0....2....1....0....2....2....0....3....3....1....3....3
..0....2....3....1....0....2....1....0....2....2....0....1....2....1....2....3
..0....2....3....0....0....2....1....0....3....0....0....1....2....1....3....3
..0....2....3....0....0....3....1....2....3....0....1....1....2....3....3....3
..0....0....3....1....0....2....3....0....3....0....0....3....2....1....2....1
..1....0....2....0....0....3....1....2....2....0....1....1....0....3....2....3
CROSSREFS
Column 3 of A246479.
Sequence in context: A044247 A044628 A181190 * A334407 A336628 A336443
KEYWORD
nonn
AUTHOR
R. H. Hardin, Aug 27 2014
STATUS
approved