A248062 Number of length n+5 0..2 arrays with some disjoint triples in each consecutive six terms having the same sum.

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

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