

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
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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

Chai Wah Wu, Table of n, a(n) for n = 1..100


EXAMPLE

a(8) = 152 is a multiple of 8; a(10) = 0, since every multiple of 10 includes a 0.


CROSSREFS

Cf. A002998, A069035.
Sequence in context: A253091 A123933 A199691 * A199357 A293872 A044344
Adjacent sequences: A077751 A077752 A077753 * A077755 A077756 A077757


KEYWORD

base,nonn


AUTHOR

Amarnath Murthy, Nov 20 2002


EXTENSIONS

Edited and extended by Franklin T. AdamsWatters, Jun 14 2006
a(44) corrected by Chai Wah Wu, Mar 17 2016


STATUS

approved



