A062753 Multiples of 4 whose sum of digits is also a multiple of 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

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 A343810 A165458

Adjacent sequences: A062750 A062751 A062752 * A062754 A062755 A062756

Keyword

easy,nonn,base

Author

Lisa O Coulter (lisa_coulter(AT)my-deja.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