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A064099 Ceiling(log(3+2*n)/log(3)) 3
1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Minimal number of weighings to detect a heavier or lighter counterfeit coin among n coins.

REFERENCES

J. G. Mauldon, Strong solutions for the counterfeit coin problem. IBM Research Report RC 7476 (#31437) 9/15/78, IBM Thomas J. Watson Research Center, P. O. Box 218, Yorktown Heights, N. Y. 10598

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,1000

FORMULA

a(n) = A134021(n+1). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 19 2007

EXAMPLE

It would be nice to have some examples showing how the sequence is related to the coin problem! - N. J. A. Sloane (njas(AT)research.att.com), Jun 25, 2002

MAPLE

A064099 := n->ceil(evalf(log(3+2*n)/log(3)));

PROG

(PARI) { for (n=0, 1000, write("b064099.txt", n, " ", ceil(log(3 + 2*n)/log(3))) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 07 2009]

CROSSREFS

Cf. A003462 ((3^n-1)/2, the inverse)

Sequence in context: A156752 A086673 A101787 * A134021 A130255 A082527

Adjacent sequences:  A064096 A064097 A064098 * A064100 A064101 A064102

KEYWORD

nice,easy,nonn

AUTHOR

Eugene McDonnell (EEMcD(AT)AOL.com), Sep 16 2001

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Last modified February 13 18:33 EST 2012. Contains 205535 sequences.