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A246476 Number of length n+3 0..5 arrays with no pair in any consecutive four terms totalling exactly 5. 1
462, 1734, 6534, 24582, 92478, 347934, 1309038, 4924998, 18529350, 69713094, 262282014, 986785278, 3712588494, 13967895174, 52551500358, 197714842182, 743863801278, 2798643484446, 10529354082798, 39614655463302 (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) + 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

EXAMPLE

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

CROSSREFS

Column 5 of A246479.

Sequence in context: A254468 A242321 A222342 * A202642 A158627 A267567

Adjacent sequences:  A246473 A246474 A246475 * A246477 A246478 A246479

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 27 2014

STATUS

approved

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Last modified June 25 03:59 EDT 2022. Contains 354835 sequences. (Running on oeis4.)