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A111397 Composite numbers (modulo 3). 1
1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

If you interpret this as a base 3 number then read as a decimal it would equal

0.4124999703972179190135867434954940067125524729635148630103267345...

whose continued fraction expansion is 0,2,2,2,1,4,5278,131,4,2,2,2,2,1,24,12,1,1,7,552,1,2,1,...,.

with increasing partial quotients 2,4,5278,66292,274715,420778,625399,...

LINKS

Table of n, a(n) for n=1..105.

FORMULA

a(n) == A002808(n) (mod 3).

MATHEMATICA

Composite[n_] := FixedPoint[n + PrimePi[ # ] + 1 &, n]; Table[ Mod[Composite[n], 3], {n, 105}]

CROSSREFS

Cf. A073867.

Sequence in context: A035177 A194591 A070105 * A131743 A147648 A113686

Adjacent sequences:  A111394 A111395 A111396 * A111398 A111399 A111400

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Nov 11 2005

STATUS

approved

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Last modified November 28 01:41 EST 2014. Contains 250286 sequences.