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A333814 Multiples of 12 whose sum of digits is 12. 1
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 (list; graph; refs; listen; history; text; internal format)
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 A058229 A260106

Adjacent sequences:  A333811 A333812 A333813 * A333815 A333816 A333817

KEYWORD

nonn,base

AUTHOR

Bernard Schott, Apr 06 2020

STATUS

approved

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Last modified July 31 04:36 EDT 2021. Contains 346367 sequences. (Running on oeis4.)