A333814 Multiples of 12 whose sum of digits is 12.

48, 84, 156, 192, 228, 264, 336, 372, 408, 444, 480, 516, 552, 624, 660, 732, 804, 840, 912, 1056, 1092, 1128, 1164, 1236, 1272, 1308, 1344, 1380, 1416, 1452, 1524, 1560, 1632, 1704, 1740, 1812, 1920, 2028, 2064, 2136, 2172, 2208, 2244, 2280, 2316, 2352, 2424

Offset

1,1

Comments

If m is a term, 10*m is also a term.

Links

Table of n, a(n) for n=1..47.

Formula

a(n) ~ A235151(n). - Charles R Greathouse IV, Apr 07 2020

Example

732 = 12 * 61 and 7 + 3 + 2 = 12, hence 732 is a term.

Mathematica

Select[12 * Range[200], Plus @@ IntegerDigits[#] == 12 &] (* Amiram Eldar, Apr 06 2020 *)

Prog

(PARI) is(n)=sumdigits(n)==12 && n%4==0 \\ Charles R Greathouse IV, Apr 07 2020

Crossrefs

Intersection of A235151 (sum of digits = 12) and A008594 (multiples of 12).

Multiples of k whose sum of digits = k: A011557 (k=1), A069537 (k=2), A052217 (k=3), A063997 (k=4), A069540 (k=5), A062768 (k=6), A063416 (k=7), A069543 (k=8), A052223 (k=9), A333834 (k=10), A283742 (k=11), this sequence (k=12), A283737 (k=13).

Cf. A008594 (multiples of 12), A235151 (sum of digits = 12).

Cf. A057147 (a(n) = n times sum of digits of n).

Sequence in context: A039426 A043249 A044029 * A062902 A260106 A260099

Adjacent sequences: A333811 A333812 A333813 * A333815 A333816 A333817

Keyword

nonn,base

Author

Bernard Schott, Apr 06 2020

Status

approved