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A007089 Numbers in base 3.
(Formerly M1960)
144
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

Index entries for 10-automatic sequences.

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

AUTHOR

N. J. A. Sloane, Robert G. Wilson v

EXTENSIONS

More terms from James A. Sellers, May 01 2000

STATUS

approved

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Last modified March 24 15:46 EDT 2017. Contains 283991 sequences.