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Search: id:A060159
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| A060159 |
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Initial term of a series of exactly n consecutive Harshad or Niven numbers (a Harshad number is such that is divided by the sum of its digits). |
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+0
6
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| 12, 20, 110, 510, 131052, 12751220, 10000095, 2162049150, 124324220
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Jud McCranie found the 8th term (2162049150).
a(20) is the final term of this sequence, since there can't be more than 20 consecutive Niven numbers (Cooper, 1994) [From Sergio Pimentel (ferdiego(AT)suddenlink.net), Sep 18 2008]
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REFERENCES
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J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 110, p. 39, Ellipses, Paris 2008.
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LINKS
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C. Rivera, Source
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EXAMPLE
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a(3)=110 comes from the fact that 110 is divisible by 2, 111 is divisible by 3, 112 is divisible by 4 but 113 is not divisible by 5.
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CROSSREFS
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Cf. A005349.
Sequence in context: A109788 A025104 A163323 this_sequence A167351 A078600 A076638
Adjacent sequences: A060156 A060157 A060158 this_sequence A060160 A060161 A060162
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KEYWORD
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fini,hard,nonn,base
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AUTHOR
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Carlos B. Rivera F. (crivera(AT)primepuzzles.net), Mar 12 2001
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