Voozh

A037310

Numbers whose base-3 and base-5 expansions have the same digit sum.

1, 2, 6, 7, 8, 10, 11, 15, 16, 17, 20, 30, 31, 32, 40, 41, 55, 56, 60, 61, 62, 65, 70, 71, 78, 79, 100, 101, 105, 106, 107, 129, 135, 136, 137, 141, 142, 143, 145, 146, 153, 154, 159, 170, 177, 178, 179, 180, 181, 182, 186, 187, 188

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

OFFSET

1,2

COMMENTS

Also, numbers n such that the exponent of the largest power of 3 dividing n! is exactly twice the exponent of the largest power of 5 dividing n!. - Ivan Neretin, May 21 2015

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

FORMULA

A053735(a(n)) = A053824(a(n)). - Robert Israel, May 21 2015

MAPLE

select(t -> convert(convert(t, base, 3), `+`)=convert(convert(t, base, 5), `+`), [$1..1000]); # Robert Israel, May 21 2015

MATHEMATICA

Select[Range[200], Total[IntegerDigits[#, 3]]==Total[IntegerDigits[#, 5]]&] (* Harvey P. Dale, Jun 06 2016 *)

PROG

(PARI) is(n)=sumdigits(n, 3)==sumdigits(n, 5) \\ Charles R Greathouse IV, May 21 2015

CROSSREFS

Cf. A037301 (similar, based upon 2 and 3).