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A118771 Let a "sum" be a set {x,y,z} of distinct natural numbers such that x+y=z and let N_m={1,2,...m}. a(n) is the smallest s such that there is no partition of N_s into n sum-free parts. +0
1
3, 9, 24, 67 (list; graph; listen)
OFFSET

1,1

REFERENCES

P. Blanchard, F. Harary and R. Reis, Partitions into sum-free sets, Integers: electronic journal of combinatorial number theory, 6. 2006.

EXAMPLE

For n=1, a(1)=3 as there is no partition of N_3={1,2,3} into 1-sum-free parts. In the same way a(2)=9...

CROSSREFS

Sequence in context: A096168 A051042 A121907 this_sequence A091587 A018047 A090577

Adjacent sequences: A118768 A118769 A118770 this_sequence A118772 A118773 A118774

KEYWORD

nonn

AUTHOR

R. Reis (rvr(AT)ncc.up.pt), May 22 2006

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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