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 A134021 Length of n in balanced ternary representation. 20
 1, 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, 5, 5, 5, 5 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Shifted variant of A064099. a(n) = A134022(n) + A134023(n) + A134024(n); 0 <= a(n) - A081604(n) <= 1; a(A134025(n))=A081604(A134025(n)); a(A134026(n))=A081604(A134026(n))+1; a(A134027(n)) = a(n); a(ABS(A134028(n))) <= a(n); a(n) = A064099(n-1) for n>1. n = Sum(A059095(A134421(n)-2-k)*3^k: 0<=k0. - Reinhard Zumkeller, Oct 25 2007 a(n) = A005812(n) + A134023(n). REFERENCES D. E. Knuth, The Art of Computer Programming, Addison-Wesley, Reading, MA, Vol 2, pp 173-175. LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..10000 Wikipedia, Balanced Ternary FORMULA For n>0: a(n) = ceiling(log(2*n+1)/log(3)). EXAMPLE 100=1*3^4+1*3^3-1*3^2+0*3^1+1*3^0: a(100)=|++-0+|=5; 200=1*3^5-1*3^4+1*3^3+1*3^2+1*3^1-1*3^0: a(200)=|+-+++-|=6; 300=1*3^5+1*3^4-1*3^3+0*3^2+1*3^1+0*3^0: a(300)=|++-0+0|=6. PROG (Python) def a(n): if n==0: return 1 s=0 x=0 while n>0: x=n%3 n=n//3 if x==2: x=-1 n+=1 s+=1 return s print([a(n) for n in range(101)]) # Indranil Ghosh, Jun 07 2017 CROSSREFS Sequence in context: A269024 A244160 A064099 * A330558 A237657 A244317 Adjacent sequences: A134018 A134019 A134020 * A134022 A134023 A134024 KEYWORD nonn,base AUTHOR Reinhard Zumkeller, Oct 19 2007 STATUS approved

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Last modified December 9 13:48 EST 2023. Contains 367691 sequences. (Running on oeis4.)