A218290 Multiples of 5 such that the sum of their digits is also a multiple of 5.

5, 50, 55, 140, 145, 190, 195, 230, 235, 280, 285, 320, 325, 370, 375, 410, 415, 460, 465, 500, 505, 550, 555, 640, 645, 690, 695, 730, 735, 780, 785, 820, 825, 870, 875, 910, 915, 960, 965, 1040, 1045, 1090, 1095, 1130, 1135, 1180, 1185, 1220, 1225, 1270

Offset

1,1

Links

Bruno Berselli, Table of n, a(n) for n = 1..1000

Example

145 is a multiple of 5, and its digits, 1, 4, 5, add up to 10, which is also a multiple of 5. [Alonso del Arte, Oct 27 2012]

Mathematica

Select[ Range[5, 1300, 5], Mod[ Total[ IntegerDigits[#]], 5] == 0 &] (* Jean-François Alcover, Oct 26 2012 *)

Prog

(Magma) [n: n in [5..1300 by 5] | IsZero(&+Intseq(n) mod 5)];

Crossrefs

Cf. multiples of k with digit sum divisible by k: A008585 (k = 3), A008591 (k = 9), A062753 (k = 4), A179082 (k = 2), A216994 (k = 7), A216995 (k = 11), A216997 (k = 8), A218291 (k = 6), A218292 (k = 10).

Sequence in context: A082795 A217398 A059008 * A136890 A136889 A136887

Adjacent sequences: A218287 A218288 A218289 * A218291 A218292 A218293

Keyword

nonn,base,easy

Author

Bruno Berselli, Oct 25 2012

Status

approved