A121385 -id:A121385

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A121386

Number of different two-colorings of {1,...,n} that minimize the number of monochromatic three-term arithmetic progressions that such a coloring can contain.

+10
1

2, 4, 6, 10, 14, 20, 16, 6, 36, 8, 44, 10, 8, 30, 16, 8, 12, 2, 12, 28, 64, 110, 96, 134, 56, 44, 16, 2, 16, 74, 116, 188, 200, 180

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OFFSET

1,1

COMMENTS

The unique (up to switching colors) sequences for n=18 and n=28 are 001001111000011011 and 0001100011111100000011100111 respectively.

LINKS

Table of n, a(n) for n=1..34.

EXAMPLE

a(3)=6 because all non-monochromatic colorings are such an example

CROSSREFS

Cf. A005346, A121385.

KEYWORD

nonn

AUTHOR

Steve Butler, Jul 26 2006

EXTENSIONS

Definition corrected by Rob Pratt, Jun 11 2014

STATUS

approved

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