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Search: id:A077754
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| A077754 |
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Smallest multiple of n with two or more digits, none of them zeros, whose digit sum equals n, or 0 if no such multiple exists. |
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+0
1
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| 0, 0, 12, 112, 0, 24, 133, 152, 18, 0, 0, 48, 247, 266, 195, 448, 476, 198, 874, 0, 399, 2398, 1679, 888, 4975, 1898, 999, 7588, 4988, 0, 8959, 17888, 42999, 28798, 57995, 29988, 37999, 59, 888, 49998, 0, 177899, 88998, 99889, 559988, 499995, 589996
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Equivalently, the digits of a(n) are a nontrivial composition of n, and n divides a(n).
Conjecture: zero occurs only for indices which are multiples of 10 apart from 1, 2, 5, and 11. (a(n) = 0 only for n = 1,2,5,11 or n = 10k.)
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EXAMPLE
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a(8) = 152 is a multiple of 8; a(10) = 0, since every multiple of 10 includes a 0.
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CROSSREFS
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Cf. A002998, A069035.
Adjacent sequences: A077751 A077752 A077753 this_sequence A077755 A077756 A077757
Sequence in context: A066042 A036733 A123933 this_sequence A044344 A130838 A044725
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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), Nov 20 2002
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EXTENSIONS
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Edited and extended by Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jun 14 2006
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