A210568 Array read by upwards antidiagonals: majority index of "comet" C_{s,t}.

2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 4, 4, 4, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6

Offset

1,1

References

Lowell W. Beineke, Michael A. Henning, Opinion functions on trees. 15th British Combinatorial Conference (Stirling, 1995). Discrete Math. 167/168 (1997), 127--139. MR1446738 (98a:05049)

Links

Table of n, a(n) for n=1..78.

Lowell W. Beineke, Michael A. Henning, Opinion functions on trees, Discrete Mathematics, Volumes 167-168, 15 April 1997, Pages 127-139, Selected Papers 15th British Combinatorial Conference

Example

Array begins:
2 2 3 3 4 4 4 4 5 5 6 6 ...
2 3 3 4 4 4 4 5 5 6 6 6 ...
3 3 4 4 5 4 5 5 6 6 6 6 ...
3 4 4 5 5 6 5 6 6 6 6 7 ...
4 4 5 5 6 6 6 6 6 6 7 7 ...
...

Prog

(PARI) majC(s, t) = {if (t <= 5, return ((s+t)\2 + 1)); if ((6 <= t) && (t <= s+2), return ((s+t)\2 - (t-1)\3 + 2)); if (t >= s+3, return ((2*(s+t)\2)\3+2)); } \\ Michel Marcus, Mar 30 2013

Crossrefs

Sequence in context: A186188 A227177 A132944 * A262887 A106432 A227923

Adjacent sequences: A210565 A210566 A210567 * A210569 A210570 A210571

Keyword

nonn,tabl

Author

N. J. A. Sloane, Mar 22 2012

Status

approved