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 A007089 Numbers in base 3. (Formerly M1960) 149
 0, 1, 2, 10, 11, 12, 20, 21, 22, 100, 101, 102, 110, 111, 112, 120, 121, 122, 200, 201, 202, 210, 211, 212, 220, 221, 222, 1000, 1001, 1002, 1010, 1011, 1012, 1020, 1021, 1022, 1100, 1101, 1102, 1110, 1111, 1112, 1120, 1121, 1122, 1200, 1201, 1202, 1210, 1211 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Nonnegative integers with no decimal digit > 2. Thus nonnegative integers in base 10 whose quadrupling by normal addition or multiplication requires no carry operation. - Rick L. Shepherd, Jun 25 2009 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS T. D. Noe, Table of n, a(n) for n = 1..10000 The Unicode Consortium, Tai Xuan Jing Symbols Eric Weisstein's World of Mathematics, Ternary. Wikipedia, Ternary numeral system R. G. Wilson, V, Letter to N. J. A. Sloane, Sep. 1992 FORMULA a(0)=0, a(n) = 10*a(n/3) if n==0 (mod 3), a(n) = a(n-1) + 1 otherwise. - Benoit Cloitre, Dec 22 2002 MATHEMATICA Table[ FromDigits[ IntegerDigits[n, 3]], {n, 0, 50}] PROG (PARI) a(n)=if(n<1, 0, if(n%3, a(n-1)+1, 10*a(n/3))) (PARI) a(n)=fromdigits(digits(n, 3)) \\ Charles R Greathouse IV, Jan 08 2017 (Haskell) a007089 0 = 0 a007089 n = 10 * a007089 n' + m where (n', m) = divMod n 3 -- Reinhard Zumkeller, Feb 19 2012 CROSSREFS Cf. A000042, A007088, A007090, A007091, A007092, A007093, A007094, A007095, A077267, A062756, A081603, A081604, A054635, A003137. Sequence in context: A217072 A106518 A158304 * A159952 A136820 A256437 Adjacent sequences:  A007086 A007087 A007088 * A007090 A007091 A007092 KEYWORD base,nonn,easy,changed AUTHOR EXTENSIONS More terms from James A. Sellers, May 01 2000 STATUS approved

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