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A032924 Numbers whose ternary expansion contains no 0. 17
1, 2, 4, 5, 7, 8, 13, 14, 16, 17, 22, 23, 25, 26, 40, 41, 43, 44, 49, 50, 52, 53, 67, 68, 70, 71, 76, 77, 79, 80, 121, 122, 124, 125, 130, 131, 133, 134, 148, 149, 151, 152, 157, 158, 160, 161, 202, 203, 205, 206, 211, 212, 214, 215, 229, 230, 232, 233, 238, 239 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Complement of A081605. - Reinhard Zumkeller, Mar 23 2003

a(n) = A107680(n) + A107681(n); - Reinhard Zumkeller, May 20 2005

A081604(A107681(n)) <= A081604(A107680(n)) = A081604(a(n)) = A000523(n+1). - Reinhard Zumkeller, May 20 2005

A077267(a(n)) = 0. - Reinhard Zumkeller, Mar 02 2008

Subsequence of A154314. [From Reinhard Zumkeller, Jan 07 2009]

A212193(a(n)) = 0. [Reinhard Zumkeller, May 04 2012]

REFERENCES

David Garth and Adam Gouge, Affinely Self-Generating Sets and Morphisms, Journal of Integer Sequences, Vol. 10 (2007), Article 07.1.5.

C. Kimberling, Affinely recursive sets and orderings of languages, Discrete Math., 274 (2004), 147-160. [From N. J. A. Sloane, Jan 31 2012]

LINKS

R. Zumkeller, Table of n, a(n) for n = 1..10000

FORMULA

a(1)=1, a(n+1)=f(a(n)+1,f(a(n)+1) where f(x,y) = if x<3 and x<>0 then y else if x mod 3 = 0 then f(y+1,y+1) else f(floor(x/3),y). - Reinhard Zumkeller, Mar 02 2008

a(2n)=a(2n-1)+1, n>0. [From Zak Seidov, Jul 27 2009]

PROG

(Haskell)

import Data.List (elemIndices)

a032924 n = a032924_list !! (n-1)

a032924_list = elemIndices 0 a212193_list

-- Reinhard Zumkeller, May 04 2012

CROSSREFS

Cf. A005823, A005836, A007089, A081608.

Cf. A132140, A132141.

Sequence in context: A176193 A072920 A107899 * A005125 A232832 A082672

Adjacent sequences:  A032921 A032922 A032923 * A032925 A032926 A032927

KEYWORD

nonn,base

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified December 21 01:10 EST 2014. Contains 252291 sequences.