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Search: id:A158930
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| A158930 |
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a(n) is the smallest integer not yet in the sequence with no common base-5 digit with a(n-1). |
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+0
3
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| 1, 2, 3, 4, 5, 12, 6, 10, 8, 14, 15, 7, 18, 9, 13, 20, 11, 19, 25, 17, 21, 50, 16, 22, 26, 23, 27, 24, 28, 62, 29, 63, 30, 64, 31, 52, 33, 54, 41, 60, 34, 53, 46, 65, 49, 67, 45, 68, 100, 32, 75, 36, 78, 37, 79, 56, 90, 39, 93, 35, 94, 51, 98, 55, 99, 57, 95, 61, 103, 156, 69
(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 A031946 or of the 4th row of A051845 do not appear in this sequence. In base-5 notation the sequence reads 1,2,3,4,10,22,11,20,13,24,30,12,33,14,...
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EXAMPLE
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The terms a(1) to a(4) are the first integers in order because they have only a single, non-common digit. a(5)=5(base10)=10(base5) does not share a digit with a(4)=4(base10)=4(base5). The numbers 6(base10)=11(base5) to 9(base10)=14(base5) are ruled out for a(6) because they share a 1 with 10(base5). The numbers 10(base10)=20(base5) and 11(base10)=21(base5) are also ruled out for a(6) because they either have a 0 or a 1 in common with a(5)=10(base5). So a(6)=12(base10)=22(base5) with no 0 or 1 is selected.
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CROSSREFS
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Cf. A067581 (base-10), A158928 (base-3), A158929 (base-4).
Sequence in context: A032988 A136367 A014545 this_sequence A065636 A135323 A052106
Adjacent sequences: A158927 A158928 A158929 this_sequence A158931 A158932 A158933
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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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