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 A117968 Negative part of inverse of A117966; write -n in balanced ternary and then replace (-1)'s with 2's. 20
 2, 7, 6, 8, 22, 21, 23, 19, 18, 20, 25, 24, 26, 67, 66, 68, 64, 63, 65, 70, 69, 71, 58, 57, 59, 55, 54, 56, 61, 60, 62, 76, 75, 77, 73, 72, 74, 79, 78, 80, 202, 201, 203, 199, 198, 200, 205, 204, 206, 193, 192, 194, 190, 189, 191, 196, 195, 197, 211, 210, 212, 208, 207 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES D. E. Knuth, The Art of Computer Programming. Addison-Wesley, Reading, MA, Vol. 2, pp. 173-175 LINKS Indranil Ghosh, Table of n, a(n) for n = 1..6561 Ken Levasseur, The Balanced Ternary Number System [Broken link] FORMULA a(1) = 2, a(3n) = 3a(n), a(3n+1) = 3a(n)+2, a(3n-1) = 3a(n)+1. EXAMPLE -7 in balanced ternary is (-1)1(-1), changing to 212 ternary is 23, so a(7)=23. PROG (Python) def a(n):     if n==1: return 2     if n%3==0: return 3*a(n/3)     elif n%3==1: return 3*a((n - 1)/3) + 2     else: return 3*a((n + 1)/3) + 1 print [a(n) for n in range(1, 101)] # Indranil Ghosh, Jun 06 2017 CROSSREFS Cf. A117966. a(n) = A004488(A117967(n)). Bisection of A140263. A140268 gives the same sequence in ternary. Sequence in context: A233770 A138283 A308682 * A217568 A320871 A154200 Adjacent sequences:  A117965 A117966 A117967 * A117969 A117970 A117971 KEYWORD base,nonn AUTHOR Franklin T. Adams-Watters, Apr 05 2006 STATUS approved

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Last modified May 26 22:58 EDT 2020. Contains 334634 sequences. (Running on oeis4.)