A135123 Numbers such that the digital sum base 2 and the digital sum base 3 and the digital sum base 6 all are equal.

1, 12, 13, 114, 115, 366, 367, 477, 687, 864, 865, 876, 877, 1086, 1087, 1305, 1326, 1327, 1386, 1387, 1596, 1597, 1626, 1627, 1656, 1657, 1746, 1747, 1836, 1837, 1956, 1957, 2595, 2607, 2646, 2647, 3276, 3277, 3906, 3907, 3948, 3949, 4068, 4069, 5438

Offset: 1

Author

Hieronymus Fischer, Dec 31 2007

Keywords

• nonn
• base

Examples

			a(2)=12, since ds_2(12)=ds_3(12)=ds_6(12), where ds_x=digital sum base x.
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..1200

Crossrefs

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

Programs

Mathematica

Select[Range[5000], Total[IntegerDigits[#, 2]] == Total[IntegerDigits[#, 3]] == Total[IntegerDigits[#, 6]] &] (* G. C. Greubel, Sep 26 2016 *)