A075154 - OEIS

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.

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

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OFFSET

1,2

COMMENTS

The modulo requirements means values up to n=99 can be computed. - R. J. Mathar, Feb 08 2023

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.