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A004642
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Powers of 2 written in base 3.
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6
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1, 2, 11, 22, 121, 1012, 2101, 11202, 100111, 200222, 1101221, 2210212, 12121201, 102020102, 211110211, 1122221122, 10022220021, 20122210112, 111022121001, 222122012002, 1222021101011, 10221112202022, 21220002111121, 120210012000012, 1011120101000101, 2100010202000202
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| When n is odd, a(n) ends in 1, and when n is even, a(n) ends in 2, since 2^n is congruent to 1 mod 3 when n is odd and to 2 mod 3 when n is even. (From Alonso Delarte (alonso.delarte(AT)gmail.com) Dec 11 2009)
Sloane (1973) conjectured a(n) always has a 0 between the most and least significant digits if n > 15. This has been verified up to n = 10^5 (see A102483). (From Alonso del Arte, Feb 20 2011)
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REFERENCES
| Sloane, N. J. A. "The Persistence of a Number." J. Recr. Math. 6 (1973): 97 - 98
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LINKS
| Eric Weisstein's World of Mathematics, Ternary
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MATHEMATICA
| Table[FromDigits[IntegerDigits[2^n, 3]], {n, 25}] (* From Alonso Delarte (alonso.delarte(AT)gmail.com) Dec 11 2009 *)
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CROSSREFS
| Cf. A000079, Powers of 2 written in base 10.
Sequence in context: A162468 A118594 A018351 * A185545 A001032 A045386
Adjacent sequences: A004639 A004640 A004641 * A004643 A004644 A004645
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KEYWORD
| nonn,base
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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