login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A075154 a(n) is the smallest multiple of n such that a(n) mod 100 = n and S(n)=n where S(n) is the sum of the base-ten digits of n, or 0 if no such a(n) exists. 2
1, 2, 3, 4, 5, 6, 7, 8, 9, 910, 0, 912, 11713, 6314, 915, 3616, 15317, 918, 17119, 9920, 18921, 9922, 82823, 19824, 9925, 46826, 18927, 18928, 78329, 99930, 585931, 388832, 1098933, 198934, 289835, 99936, 99937, 478838, 198939, 1999840 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

Sandro Boscaro, Nivenmorphic Integers, Journal of Recreational Mathematics, Vol. 28 (1996-97), Number 3, pp. 201-205.

LINKS

Table of n, a(n) for n=1..40.

Index entries for sequences related to automorphic numbers

EXAMPLE

a(10)=910 since 10 divides 910, 9 + 1 + 0 = 10 and 910 ends with 10.

CROSSREFS

Cf. A005349.

Sequence in context: A112014 A145461 * A187924 A070938 A070594 A121939

Adjacent sequences:  A075151 A075152 A075153 * A075155 A075156 A075157

KEYWORD

nonn,base

AUTHOR

Sandro Boscaro (sboscaro(AT)libero.it), Sep 06 2002

EXTENSIONS

Edited by Matthew Conroy, Oct 21 2002

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 20 15:12 EST 2018. Contains 317402 sequences. (Running on oeis4.)