

A081607


Number of numbers <= n having at least one 0 in their ternary representation.


6



1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 9, 10, 11, 12, 12, 12, 13, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 26, 27, 27, 27, 28, 29, 30, 31, 31, 31, 32, 32, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 45, 45, 46, 46, 46, 47, 48, 49, 50
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OFFSET

0,4


COMMENTS

a(n) + A081608(n) = n+1.


LINKS

Robert Israel, Table of n, a(n) for n = 0..10000


MAPLE

f:= n > `if`(has(convert(n, base, 3), 0), 1, 0):
ListTools:PartialSums(map(f, [$0..100])); # Robert Israel, Mar 18 2018


MATHEMATICA

Accumulate[Boole[Table[DigitCount[n, 3, 0]>0, {n, 0, 80}]]] (* Harvey P. Dale, Jun 23 2017 *)


PROG

(PARI) first(n)=my(s, t); vector(n, k, t=Set(digits(k, 3)); s+=(t[1]==0)) \\ Charles R Greathouse IV, Sep 02 2015


CROSSREFS

Cf. A007089, A077267, A081609, A081610.
Sequence in context: A029061 A337206 A334576 * A029060 A184258 A219291
Adjacent sequences: A081604 A081605 A081606 * A081608 A081609 A081610


KEYWORD

nonn


AUTHOR

Reinhard Zumkeller, Mar 23 2003


STATUS

approved



