A135129 - OEIS

A135129

Numbers such that the digital sums in bases 3, 4, 5, 6 and 7 all are equal.

1, 2, 1388, 2170, 2171, 2830, 2831, 10390, 10391, 12792, 12793, 12794, 17110, 17111, 17290, 17291, 36312, 36313, 36314, 37814, 41532, 41533, 41534, 50892, 50893, 50894, 52216, 52217, 52395, 56652, 56653, 56654, 95354, 96432, 96433, 96434

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OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1700

EXAMPLE

a(3)=1388, since ds_3(1388)=ds_4(1388)=ds_5(1388)=ds_6(1388)=ds_7(1388), where ds_x=digital sum base x.

MATHEMATICA

Select[Range[30000], Total[IntegerDigits[#, 3]] == Total[IntegerDigits[#, 4]] == Total[IntegerDigits[#, 5]] == Total[IntegerDigits[#, 6]] == Total[IntegerDigits[#, 7]] &] (* G. C. Greubel, Sep 28 2016 *)

Select[Range[100000], Length[Union[Table[Total[IntegerDigits[#, b]], {b, 3, 7}]]]==1&] (* Harvey P. Dale, Oct 25 2020 *)

CROSSREFS

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

Sequence in context: A244614 A094477 A350806 * A212841 A296056 A294089

Adjacent sequences: A135126 A135127 A135128 * A135130 A135131 A135132

KEYWORD

nonn,base

AUTHOR

Hieronymus Fischer, Dec 31 2007

STATUS

approved