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A248062 Number of length n+5 0..2 arrays with some disjoint triples in each consecutive six terms having the same sum. 1
333, 513, 793, 1221, 1861, 2793, 4113, 6753, 10945, 17457, 27313, 41793, 62433, 103713, 169633, 272481, 428641, 658593, 986913, 1643553, 2693665, 4333857, 6826273, 10498593, 15744033, 26234913, 43018273, 69239841, 109093921 (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) = a(n-1) + 20*a(n-6) - 20*a(n-7) - 64*a(n-12) + 64*a(n-13).

Empirical g.f.: x*(333 + 180*x + 280*x^2 + 428*x^3 + 640*x^4 + 932*x^5 - 5340*x^6 - 960*x^7 - 1408*x^8 - 2048*x^9 - 2944*x^10 - 4160*x^11 + 15552*x^12) / ((1 - x)*(1 - 2*x^3)*(1 + 2*x^3)*(1 - 4*x^3)*(1 + 4*x^3)). - Colin Barker, Nov 08 2018

EXAMPLE

Some solutions for n=6:

..0....0....1....2....0....0....1....1....1....2....1....0....1....1....2....1

..1....2....1....0....1....0....0....1....0....0....2....0....1....0....2....2

..0....2....0....0....2....0....0....0....1....0....1....2....1....0....0....1

..2....1....2....2....1....1....0....2....2....0....0....1....2....1....2....0

..0....2....2....1....1....0....0....2....2....1....0....0....1....0....1....2

..1....1....2....1....1....1....1....2....0....1....0....1....0....0....1....2

..0....0....1....2....0....2....1....1....1....2....1....0....1....1....0....1

..1....0....1....2....1....2....2....1....0....0....0....2....1....2....0....2

..2....2....2....0....0....2....0....2....1....2....1....0....1....0....0....1

..2....1....0....0....1....1....2....2....0....2....2....1....0....1....2....0

..0....0....0....1....1....0....2....2....2....1....2....2....1....0....1....0

CROSSREFS

Column 2 of A248068.

Sequence in context: A111690 A095199 A158081 * A056089 A227228 A066801

Adjacent sequences:  A248059 A248060 A248061 * A248063 A248064 A248065

KEYWORD

nonn

AUTHOR

R. H. Hardin, Sep 30 2014

STATUS

approved

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Last modified January 28 13:19 EST 2020. Contains 331321 sequences. (Running on oeis4.)