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Search: id:A073894
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| A073894 |
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a(0)=1; a(n) for n > 0 is the smallest number not used earlier such that the concatenation of a(0),...,a(n) is a multiple of n+1. |
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+0
4
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| 1, 0, 2, 4, 5, 6, 9, 12, 15, 10, 11, 24, 25, 8, 30, 40, 41, 18, 28, 20, 27, 46, 31, 52, 50, 32, 38, 60, 61, 80, 55, 36, 44, 120, 45, 48, 78, 26, 64, 160, 93, 14, 23, 140, 95, 98, 21, 76, 51, 100, 56, 92, 84, 34, 85, 68, 3, 62, 115, 180, 81, 74, 88, 128, 75, 58, 72, 124, 134
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Does every nonnegative integer eventually appear?
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EXAMPLE
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Concatenation of a(0),...,a(6) is 1024569, not used so far are 3, 7, 8, 10, 11, 12, ..., the smallest of these that appended to 1024569 gives a multiple of 8 is 12: 102456912 = 8*12807114, hence a(7) = 12.
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CROSSREFS
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Cf. A100769, A099552, A051883, A073893.
Sequence in context: A125881 A089969 A166944 this_sequence A056635 A163116 A003306
Adjacent sequences: A073891 A073892 A073893 this_sequence A073895 A073896 A073897
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 17 2002
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EXTENSIONS
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Edited and extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 28 2006
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