A135125 Numbers such that the digital sum base 2 and the digital sum base 5 and the digital sum base 10 all are equal.

1, 1300, 1301, 5010, 5011, 7102, 7103, 10050, 10051, 10235, 11135, 12250, 12251, 14015, 16102, 16103, 20060, 20061, 20206, 20207, 23230, 23231, 32012, 32013, 32302, 32303, 32410, 32411, 44000, 44001, 45010, 45011, 50012, 50013, 50300

Offset: 1

Author

Hieronymus Fischer, Dec 31 2007

Keywords

• nonn
• base

Examples

			a(2)=1300, since ds_2(1300)=ds_5(1300)=ds_10(1300), where ds_x=digital sum base x.
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..989

Crossrefs

Cf. A007953, A054899, A131451, A133620, A133900, A134599, A135100, A135110, A135120, A037308.

Programs

Mathematica

Select[Range[10000], Total[IntegerDigits[#, 2]] == Total[IntegerDigits[#, 5]] == Total[IntegerDigits[#, 10]] &] (* G. C. Greubel, Sep 27 2016 *)