A218292 Multiples of 10 such that the sum of their digits is also a multiple of 10.

190, 280, 370, 460, 550, 640, 730, 820, 910, 1090, 1180, 1270, 1360, 1450, 1540, 1630, 1720, 1810, 1900, 2080, 2170, 2260, 2350, 2440, 2530, 2620, 2710, 2800, 2990, 3070, 3160, 3250, 3340, 3430, 3520, 3610, 3700, 3890, 3980, 4060, 4150, 4240, 4330, 4420, 4510

Offset

1,1

Links

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

Formula

a(n) = 10*A094677(n).

Example

a(38) = 3890 is a multiple of 10, and 3+8+9+0=20 is also a multiple of 10.

Mathematica

Select[ Range[10, 4600, 10], Mod[ Total[ IntegerDigits[#]], 10] == 0 &] (* Jean-François Alcover, Oct 26 2012 *)

Prog

(Magma) [n: n in [10..4600 by 10] | IsZero(&+Intseq(n) mod 10)];

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), A218290 (k=5), A218291 (k=6).

Sequence in context: A179518 A186076 A260762 * A333834 A350423 A051979

Adjacent sequences: A218289 A218290 A218291 * A218293 A218294 A218295

Keyword

nonn,base,easy

Author

Bruno Berselli, Oct 25 2012

Status

approved