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A248069 Number of length 1+5 0..n arrays with some disjoint triples in each consecutive six terms having the same sum. 1
32, 333, 1804, 6545, 18636, 44677, 94568, 182049, 325480, 548381, 880212, 1356913, 2021684, 2925525, 4128016, 5697857, 7713648, 10264429, 13450460, 17383761, 22188892, 28003493, 34979064, 43281505, 53091896, 64607037, 78040228, 93621809 (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) = 5*a(n-1) - 9*a(n-2) + 5*a(n-3) + 5*a(n-4) - 9*a(n-5) + 5*a(n-6) - a(n-7).

Empirical for n mod 2 = 0: a(n) = (11/2)*n^5 - (5/2)*n^4 + (45/2)*n^3 + 10*n^2 - 12*n + 1.

Empirical for n mod 2 = 1: a(n) = (11/2)*n^5 - (5/2)*n^4 + (45/2)*n^3 + 10*n^2 - 12*n + (17/2).

Empirical g.f.: x*(32 + 173*x + 427*x^2 + 362*x^3 + 322*x^4 + 5*x^5 - x^6) / ((1 - x)^6*(1 + x)). - Colin Barker, Nov 08 2018

EXAMPLE

Some solutions for n=6:

..6....5....0....5....0....2....6....1....2....3....5....4....1....5....2....2

..1....1....4....6....1....6....6....5....1....2....3....2....6....6....3....1

..4....0....3....4....0....3....3....5....2....1....0....4....5....3....6....1

..6....5....2....5....5....0....3....1....5....6....1....6....2....2....5....6

..3....1....3....4....3....4....1....4....4....2....2....5....6....2....4....5

..6....0....4....6....1....3....1....4....2....4....5....1....6....0....0....3

CROSSREFS

Row 1 of A248068.

Sequence in context: A223017 A293288 A248068 * A145402 A009797 A240293

Adjacent sequences:  A248066 A248067 A248068 * A248070 A248071 A248072

KEYWORD

nonn

AUTHOR

R. H. Hardin, Sep 30 2014

STATUS

approved

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Last modified August 14 18:13 EDT 2022. Contains 356122 sequences. (Running on oeis4.)