A037315 - OEIS

A037315

Numbers whose base-3 and base-10 expansions have the same digit sum.

1, 2, 21, 22, 23, 40, 41, 80, 111, 112, 113, 132, 133, 134, 150, 151, 152, 204, 205, 206, 222, 223, 224, 312, 313, 314, 350, 420, 421, 422, 440, 510, 511, 512, 530, 600, 601, 602, 800, 1014, 1015, 1016, 1032, 1033, 1034, 1070, 1140

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

A007953(a(n)) = A053735(a(n)); A180019(a(n)) = 0. -Reinhard Zumkeller, Aug 06 2010

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

MAPLE

filter:= n -> convert(convert(n, base, 3), `+`)=convert(convert(n, base, 10), `+`):

select(filter, [$1..10000]); # Robert Israel, Mar 11 2018

MATHEMATICA

Select[Range[1200], Total[IntegerDigits[#]]==Total[IntegerDigits[#, 3]]&] (* Harvey P. Dale, May 11 2018 *)

PROG

(PARI) isok(n) = sumdigits(n, 3) == sumdigits(n, 10); \\ Michel Marcus, Mar 12 2018

CROSSREFS

Cf. A007953, A053735, A180019.

Sequence in context: A355404 A077678 A037309 * A359385 A110301 A233135

Adjacent sequences: A037312 A037313 A037314 * A037316 A037317 A037318

KEYWORD

nonn,base,look

AUTHOR

Clark Kimberling

STATUS

approved