login
A341177
Numbers that when divided by the sum of their digits leave 10 as remainder.
1
49, 65, 164, 166, 197, 248, 263, 283, 362, 374, 394, 461, 517, 538, 560, 626, 634, 656, 682, 694, 751, 752, 809, 826, 865, 868, 962, 970, 998, 1055, 1154, 1219, 1253, 1256, 1258, 1268, 1336, 1352, 1378, 1382, 1451, 1453, 1508, 1546, 1549, 1550, 1570, 1574, 1634, 1690
OFFSET
1,1
LINKS
EXAMPLE
a(1) = 49 and 49 is 13*3 with remainder 10;
a(2) = 65 and 65 is 11*5 with remainder 10; etc.
MATHEMATICA
Select[Range[1700], Mod[#, Total[IntegerDigits[#]]]==10&] (* Harvey P. Dale, Jun 22 2021 *)
CROSSREFS
Cf. A005349 (Niven numbers: remainder = 0), A209871 (Quasi-Niven numbers: remainder = 1), A341169 to A341182 (remainders = 2 to 15).
Sequence in context: A308250 A215056 A242702 * A117459 A137558 A316676
KEYWORD
base,nonn
AUTHOR
Eric Angelini and Carole Dubois, Feb 06 2021
STATUS
approved