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A140267
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Nonnegative integers in balanced ternary representation (with 2 standing for -1 digit).
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7
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0, 1, 12, 10, 11, 122, 120, 121, 102, 100, 101, 112, 110, 111, 1222, 1220, 1221, 1202, 1200, 1201, 1212, 1210, 1211, 1022, 1020, 1021, 1002, 1000, 1001, 1012, 1010, 1011, 1122, 1120, 1121, 1102, 1100, 1101, 1112, 1110, 1111, 12222, 12220, 12221
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Sequence A117967 in ternary. (See there for more references.)
Contribution from Daniel Forgues (squid(AT)zensearch.com), Mar 22 2010: (Start)
The balanced ternary digits {-1, 0, +1} (balanced trits) of a(n) are being represented by {2, 0, 1} respectively in this sequence.
The sign of a(n) is given by the sign of its leading trit.
The number k, k >= 0, of trailing "0"s of a(n) indicates that a(n) is divisible by 3^k.
a(n) is even/odd if it has an even/odd count of non-zero trits. (End)
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LINKS
| Daniel Forgues, Table of n, a(n) for n=0..100000
Jeff Connelly, Ternary Computing Testbed 3-Trit Computer Architecture, 2008. [From Daniel Forgues (squid(AT)zensearch.com), Mar 23 2010]
Brian Hayes, Third Base, American Scientist, November-December 2001. [From Daniel Forgues (squid(AT)zensearch.com), Mar 23 2010]
Ternary.info Forum, Balanced ternary arithmetics. [From Daniel Forgues (squid(AT)zensearch.com), Mar 23 2010]
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EXAMPLE
| For example a(2) = 12, as 1*3 + -1*1 = 2. Similarly, a(19) = 1201, as 1*27 + -1*9 + 0*3 + 1*1 = 19.
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CROSSREFS
| a(n) = A007089(A117967(n)). Cf. A140268.
Sequence in context: A038335 A040023 A109683 * A094450 A038336 A087868
Adjacent sequences: A140264 A140265 A140266 * A140268 A140269 A140270
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KEYWORD
| nonn,base
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AUTHOR
| Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), May 19 2008, prompted by Eric Angelini's (eric.angelini(AT)skynet.be) posting on SeqFan mailing list on Sep 15 2005.
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EXTENSIONS
| Definition edited by Daniel Forgues (squid(AT)zensearch.com), Mar 24 2010
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