A341188 - OEIS

A341188

Numbers that when divided by the sum of their digits leave 18 as remainder.

379, 398, 578, 669, 758, 795, 858, 869, 892, 938, 978, 984, 1298, 1299, 1478, 1488, 1576, 1658, 1677, 1697, 1698, 1747, 1838, 1866, 1918, 1929, 1986, 1989, 1992, 2089, 2198, 2378, 2496, 2558, 2559, 2685, 2738, 2748, 2773, 2778, 2799, 2874, 2918, 2937

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Paolo Xausa, Table of n, a(n) for n = 1..10000 (terms 1..5001 from Carole Dubois).

EXAMPLE

a(1) = 379 and 379 is 19*19 with remainder 18;

a(2) = 398 and 398 is 20*19 with remainder 18; etc.

MATHEMATICA

A341188Q[k_] := Mod[k, Total[IntegerDigits[k]]] == 18;

Select[Range[3000], A341188Q] (* Paolo Xausa, Dec 02 2025 *)

CROSSREFS

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

Sequence in context: A225994 A228554 A108385 * A020369 A142207 A058995

Adjacent sequences: A341185 A341186 A341187 * A341189 A341190 A341191

KEYWORD

base,nonn

AUTHOR

Eric Angelini and Carole Dubois, Feb 06 2021

STATUS

approved