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Search: id:A158928
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| A158928 |
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a(n) is the smallest integer not yet in the sequence with no common base-3 digit with a(n-1). |
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+0
3
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| 1, 2, 3, 8, 4, 6, 13, 18, 40, 20, 121, 24, 364, 26, 9, 80, 10, 242, 12, 728, 27, 2186, 28, 6560, 30, 19682, 31, 59048, 36, 177146, 37, 531440, 39, 1594322, 81, 4782968, 82, 14348906, 84, 43046720, 85, 129140162, 90, 387420488, 91, 1162261466, 93
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Numbers of A031944 do not appear in this sequence. After a number which has base-3 digits 0 and 1, a number of the form 3^k-1 (see A024023) follows by definition, because its base-3 digits are all 2.
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EXAMPLE
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The 4th term cannot be 4 because 4(base10)=11(base3) shares a common digit 1 with a(3)=3(base10)=10(base3). It cannot be 5(base10)=12(base3) because this shares the digit 1 with 3=10(base3). It cannot be 6(base10)=20(base3) because this shares the digit 0 with 3=10(base3). It cannot be 7(base10)=21(base3) because this shares the digit 1 with 3=10(base3). It becomes a(4)=8(base10)=22(base3) which does not have the digit 0 or 1 of a(3)=10(base3).
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CROSSREFS
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Cf. A067581 (base-10), A158929 (base-4), A158930 (base-5).
Sequence in context: A111809 A100869 A110142 this_sequence A098514 A161198 A093898
Adjacent sequences: A158925 A158926 A158927 this_sequence A158929 A158930 A158931
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KEYWORD
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base,easy,nonn
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AUTHOR
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R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 31 2009
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