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A081603 Number of 2's in ternary representation of n. 16
0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 3, 3, 4, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2 (list; graph; refs; listen; history; internal format)
OFFSET

0,9

COMMENTS

A077267(n) + A062756(n) + a(n) = A081604(n);

a(n) = (A053735(n) - A062756(n))/2.

Fixed point of the morphism : 0 ->001 ; 1 ->112 ; 2 ->223 ; 3 ->334, etc , starting from a(0)=0. - From DELEHAM Philippe, Oct 26 2011.

LINKS

R. Zumkeller, Table of n, a(n) for n = 0..10000

Eric Weisstein's World of Mathematics, Ternary.

FORMULA

a(n) = if n<3 then [n/2] else a([n/3]) + [(n mod 3)/2].

MATHEMATICA

Table[Count[IntegerDigits[n, 3], 2], {n, 0, 6!}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 25 2009]

CROSSREFS

Cf. A007089, A074940, A005836, A081610, A081611.

Sequence in context: A147645 A091970 A093955 * A165277 A103612 A083913

Adjacent sequences:  A081600 A081601 A081602 * A081604 A081605 A081606

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 23 2003

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Last modified February 16 14:37 EST 2012. Contains 205930 sequences.