A242474 - OEIS

%I #34 Apr 18 2023 15:30:40

%S 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,910,911,912,913,914,

%T 915,916,917,918,919,9010,9011,9012,9013,9014,9015,9016,9017,9018,

%U 9019,90010,90011,90012,90013,90014,90015,90016,90017,90018,90019,900010,900011,900012

%N Numbers n such that A = n - digitsum(n) is divisible by the largest power of 10 <= A.

%C For n > 19, A = 9*10^k for some k.

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,-10).

%e 912 - (9 + 1 + 2) = 900 is divisible by the highest power of 10 less than 900 (10^2). So 912 is a member of this sequence.

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

%o for(n=1,10^7,if((n-DS(n))%(10^(#Str(n-DS(n))-1))==0,print1(n,", ")))

%Y Cf. A007953.

%K nonn,base,easy

%O 1,2

%A _Derek Orr_, May 31 2014

%E a(34) corrected by _Georg Fischer_, Mar 18 2022