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!)
A243075 Least number k such that k + DigitSum(k) = 10^n or 0 if no such number exists. 0
5, 86, 977, 9968, 99959, 0, 9999950, 99999941, 999999932, 9999999923, 99999999914, 999999999896, 9999999999887, 99999999999878, 999999999999869, 0, 99999999999999860, 999999999999999851, 9999999999999999842, 99999999999999999833, 999999999999999999824, 9999999999999999999815 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

a(n) < 10^n and a(n) > [10^n-9*n]. Thus a(n) = 0 is definite.

LINKS

Table of n, a(n) for n=1..22.

EXAMPLE

5+5 = 10^1 so a(1) = 5.

86+(8+6) = 10^2 so a(2) = 86.

PROG

(PARI) DS(n) = {t=0; for(i=1, #digits(n), t+=digits(n)[i]); return(t)}

a(n)=for(k=(10^n-9*n), 10^n, if(k+DS(k)==10^n, return(k)))

n=1; while(n<100, print1(a(n), ", "); n+=1)

CROSSREFS

Cf. A007953.

Sequence in context: A140159 A073862 A222983 * A232489 A318219 A182963

Adjacent sequences:  A243072 A243073 A243074 * A243076 A243077 A243078

KEYWORD

nonn,base

AUTHOR

Derek Orr, May 30 2014

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 August 11 23:45 EDT 2020. Contains 336434 sequences. (Running on oeis4.)