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A135129
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Numbers such that the digital sums in bases 3, 4, 5, 6 and 7 all are equal.
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1
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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
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1,2
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 1..1700
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EXAMPLE
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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.
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MATHEMATICA
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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 *)
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CROSSREFS
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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
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KEYWORD
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nonn,base
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AUTHOR
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Hieronymus Fischer, Dec 31 2007
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STATUS
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approved
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