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A060159 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). 5
12, 20, 110, 510, 131052, 12751220, 10000095, 2162049150, 124324220 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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]

REFERENCES

J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 110, p. 39, Ellipses, Paris 2008.

LINKS

C. Rivera, Source

EXAMPLE

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.

CROSSREFS

Cf. A005349.

Sequence in context: A181701 A025104 A163323 * A167351 A078600 A076638

Adjacent sequences:  A060156 A060157 A060158 * A060160 A060161 A060162

KEYWORD

fini,hard,nonn,base

AUTHOR

Carlos B. Rivera F. (crivera(AT)primepuzzles.net), Mar 12 2001

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Last modified February 14 11:36 EST 2012. Contains 205623 sequences.