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A094087 Domination number of the Cartesian product of two n-cycles. +0
1
1, 2, 3, 4, 5, 8, 12, 16, 18, 20, 27, 32, 38, 42, 45, 56, 64, 71, 76, 80, 95 (list; graph; listen)
OFFSET

1,2

COMMENT

1/5 <= a(n)/n^2 <= 1/4 for n>=4; it is conjectured that a(5n-1)=5n^2-n and a(5n+1)=5n^2+4n-1 for n>=1, and that a(22)=104 and a(23)=114. - Richard Bean (oeis(AT)okuvrumo.fea.st), Sep 08 2006

REFERENCES

S. Klavzar and N. Seifter, Dominating Cartesian products of cycles, Discrete Applied Mathematics, Vol. 59 (1995), no. 2, pp. 129-136.

FORMULA

a(5n)=5n^2 - Richard Bean (oeis(AT)okuvrumo.fea.st), Jun 08 2006

CROSSREFS

Sequence in context: A048486 A065428 A059747 this_sequence A017821 A113439 A018059

Adjacent sequences: A094084 A094085 A094086 this_sequence A094088 A094089 A094090

KEYWORD

nonn

AUTHOR

Richard Bean (rwb(AT)eskimo.com), May 01 2004

EXTENSIONS

More terms from Richard Bean (oeis(AT)okuvrumo.fea.st), Sep 08 2006

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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