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A077754
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.
1
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, 59888, 49998, 0, 177899, 88998, 99889, 479996, 499995, 589996
OFFSET
1,3
COMMENTS
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.)
LINKS
EXAMPLE
a(8) = 152 is a multiple of 8; a(10) = 0, since every multiple of 10 includes a 0.
CROSSREFS
Sequence in context: A123933 A199691 A348150 * A199357 A293872 A044344
KEYWORD
base,nonn
AUTHOR
Amarnath Murthy, Nov 20 2002
EXTENSIONS
Edited and extended by Franklin T. Adams-Watters, Jun 14 2006
a(44) corrected by Chai Wah Wu, Mar 17 2016
STATUS
approved