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A246734 Number of length n+4 0..5 arrays with no pair in any consecutive five terms totalling exactly 5. 1
1566, 5430, 18966, 66294, 231414, 807630, 2818830, 9838974, 34342350, 119869158, 418392870, 1460364774, 5097280614, 17791629822, 62100187038, 216755476782, 756566753022, 2640732594966, 9217254934326, 32172052811478, 112293843388758 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) + a(n-2) + a(n-3) + 5*a(n-4) + a(n-5) - a(n-6) - a(n-7).

Empirical g.f.: 6*x*(261 + 122*x + 185*x^2 + 400*x^3 + 51*x^4 - 98*x^5 - 77*x^6) / ((1 + x)*(1 - 4*x + 3*x^2 - 4*x^3 - x^4 + x^6)). - Colin Barker, Nov 06 2018

EXAMPLE

Some solutions for n=4:

..5....2....5....3....5....5....3....3....5....2....5....2....3....3....3....5

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

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

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

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

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

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

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

CROSSREFS

Column 5 of A246737.

Sequence in context: A072394 A243528 A237673 * A237467 A035890 A252109

Adjacent sequences:  A246731 A246732 A246733 * A246735 A246736 A246737

KEYWORD

nonn

AUTHOR

R. H. Hardin, Sep 02 2014

STATUS

approved

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Last modified May 19 12:09 EDT 2022. Contains 353833 sequences. (Running on oeis4.)