login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Numbers that when divided by the sum of their digits leave 19 as remainder.
1

%I #8 Feb 13 2021 08:16:02

%S 299,479,659,679,839,877,1199,1379,1559,1669,1739,1859,1867,1919,1969,

%T 2099,2279,2459,2639,2659,2687,2819,2857,2869,2879,2894,3179,3359,

%U 3539,3649,3719,3769,3799,3847,3929,3994,4079,4259,4439,4619,4639,4669,4757

%N Numbers that when divided by the sum of their digits leave 19 as remainder.

%H Carole Dubois, <a href="/A341189/b341189.txt">Table of n, a(n) for n = 1..5001</a>

%e a(1) = 299 and 299 is 20*14 with remainder 19;

%e a(2) = 479 and 479 is 20*23 with remainder 19; etc.

%Y Cf. A005349 (Niven numbers: remainder = 0), A209871 (Quasi-Niven numbers: remainder = 1), A341169 to A341182 (remainders = 2 to 15).

%K base,nonn

%O 1,1

%A _Eric Angelini_ and _Carole Dubois_, Feb 06 2021