login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 (list; graph; refs; listen; history; text; internal format)
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. Adams-Watters, Jun 14 2006

a(44) corrected by Chai Wah Wu, Mar 17 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 27 20:54 EDT 2021. Contains 347694 sequences. (Running on oeis4.)