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Number of length n+3 0..5 arrays with no pair in any consecutive four terms totalling exactly 5.

Column 5 of A246479

Empirical: a(n) = 3*a(n-1) + 2*a(n-2) + 3*a(n-3) +a(n-4).

Empirical g.f.: 6*x*(77 + 58*x + 68*x^2 + 21*x^3) / (1 - 3*x - 2*x^2 - 3*x^3 - x^4). - Colin Barker, Nov 06 2018

Some solutions for n=5:

Column 5 of A246479.

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R. H. Hardin, <a href="/A246476/b246476.txt">Table of n, a(n) for n = 1..210</a>

allocated for R. H. Hardin

Number of length n+3 0..5 arrays with no pair in any consecutive four terms totalling exactly 5

462, 1734, 6534, 24582, 92478, 347934, 1309038, 4924998, 18529350, 69713094, 262282014, 986785278, 3712588494, 13967895174, 52551500358, 197714842182, 743863801278, 2798643484446, 10529354082798, 39614655463302

1,1

Column 5 of A246479

Empirical: a(n) = 3*a(n-1) +2*a(n-2) +3*a(n-3) +a(n-4)

Some solutions for n=5

..3....3....5....4....3....4....1....3....0....2....3....2....2....2....2....4

..5....0....4....4....3....2....1....4....1....4....4....2....5....1....2....5

..4....1....4....4....1....5....0....4....0....5....3....0....4....5....1....4

..4....0....3....5....0....5....2....4....2....5....3....4....2....1....1....5

..4....2....3....5....1....4....1....2....2....4....4....4....5....2....0....5

..4....2....3....5....0....5....1....5....2....4....5....2....4....5....3....2

..4....4....3....5....0....2....1....4....0....3....5....5....2....2....3....4

..3....2....0....5....1....4....3....5....0....3....2....5....2....4....4....4

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R. H. Hardin, Aug 27 2014

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