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

Author

Bruno Berselli, Oct 25 2012

Keywords

• nonn
• base
• easy

Examples

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

Links

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

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).

Programs

Magma

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

Mathematica

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

Formula

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