A135111 Numbers such that the digital sum base 2 and the digital sum base 3 are in a ratio of 2:3.

5, 33, 78, 106, 116, 142, 150, 154, 156, 170, 178, 184, 202, 204, 210, 215, 226, 228, 278, 284, 294, 308, 312, 332, 338, 340, 344, 356, 377, 390, 396, 418, 420, 424, 450, 455, 467, 473, 483, 513, 526, 534, 550, 582, 586, 588, 596, 600, 612, 619, 624, 629

Offset

1,1

Links

G. C. Greubel, Table of n, a(n) for n = 1..1000

Example

a(1)=5, since ds_2(5):ds_3(5)=2:3.

Maple

select(t -> convert(convert(t, base, 3), `+`)/convert(convert(t, base, 2), `+`) = 3/2, [$1..1000]); # Robert Israel, Sep 26 2016

Mathematica

Select[Range[500], 3*Total[IntegerDigits[#, 2]] == 2*Total[IntegerDigits[#, 3]] &] (* G. C. Greubel, Sep 26 2016 *)

Prog

(PARI) isok(n) = 2*vecsum(digits(n, 3)) == 3*vecsum(digits(n, 2)); \\ Michel Marcus, Sep 26 2016

Crossrefs

Cf. A007953, A054899, A131451, A133620, A133900, A134599.

Sequence in context: A194405 A299518 A338342 * A185212 A250225 A250273

Adjacent sequences: A135108 A135109 A135110 * A135112 A135113 A135114

Keyword

nonn,base

Author

Hieronymus Fischer, Dec 24 2007

Status

approved