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A085124 Smallest multiple of n whose digital product is also a multiple of n, or 0 if no such number exists. +0
1
1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 0, 168, 0, 378, 135, 48, 0, 36, 0, 0, 273, 0, 0, 168, 525, 0, 999, 476, 0, 0, 0, 288, 0, 0, 175, 1296, 0, 0, 0, 0, 0, 378, 0, 0, 495, 0, 0, 384, 3577, 0, 0, 0, 0, 1296, 0, 728, 0, 0, 0, 0, 0, 0, 1197, 448, 0, 0, 0, 0, 0, 0, 0, 1368, 0, 0, 3525, 0, 0, 0, 0, 0 (list; graph; listen)
OFFSET

1,2

COMMENT

1. a(n) = 0 if n is not ( not a highly composite number) a member of A002473. 2. a(n) = 0 if n = 10k. Conjecture: a(n) is not zero otherwise. Sequence may be redefined to avoid large number of zeros by restricting it to members of A002473 which are not divisible by 10..

CROSSREFS

Adjacent sequences: A085121 A085122 A085123 this_sequence A085125 A085126 A085127

Sequence in context: A103303 A093691 A004176 this_sequence A054054 A115353 A031298

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 06 2003

EXTENSIONS

More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jan 27 2005

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Last modified October 15 09:18 EDT 2008. Contains 145015 sequences.


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