

A062753


Multiples of 4 whose sum of digits is also a multiple of 4.


4



4, 8, 40, 44, 48, 80, 84, 88, 112, 116, 152, 156, 192, 196, 220, 224, 228, 260, 264, 268, 332, 336, 372, 376, 400, 404, 408, 440, 444, 448, 480, 484, 488, 512, 516, 552, 556, 592, 596, 620, 624, 628, 660, 664, 668, 732, 736, 772, 776, 800, 804, 808, 840, 844
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OFFSET

1,1


COMMENTS

Sequence is infinite since 4*10^k, k>=0 is a subsequence.  Michel Marcus, Jun 29 2018


LINKS

Giovanni Resta, Table of n, a(n) for n = 1..10000 (first 1001 terms from Harry J. Smith)


FORMULA

Is a(n) ~ 16*n?  David A. Corneth, Jun 29 2018


EXAMPLE

44 is a term of the sequence since 4 + 4 = 8 which is also a multiple of 4;
112 is a term of the sequence since 1 + 1 + 2 = 4 and 4 is obviously a multiple of 4.
8 is a multiple of 4. Numbers having digitsum 8 and are divisible by 4 below 1000 are: {8, 44, 80, 116, 152, 224, 260, 332, 404, 440, 512, 620, 800}.  David A. Corneth, Jun 29 2018


MATHEMATICA

Select[4 Range[250], Mod[Plus @@ IntegerDigits@ #, 4] == 0 &] (* Giovanni Resta, Jun 29 2018 *)


PROG

(PARI) { forstep (a=4, 10^3, 4, if (sumdigits(a)%4 == 0, print1(a, ", "))) } \\ Harry J. Smith, Aug 10 2009


CROSSREFS

Subsequence of A008586.
Sequence in context: A228755 A007215 A195677 * A062898 A165458 A009335
Adjacent sequences: A062750 A062751 A062752 * A062754 A062755 A062756


KEYWORD

easy,nonn,base


AUTHOR

Lisa O Coulter (lisa_coulter(AT)mydeja.com), Jul 15 2001


EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Jul 24 2001
Offset set to 1 by Giovanni Resta, Jun 29 2018


STATUS

approved



