[seqfan] Re: Length of binary representation of n^3

[Neil Sloane]

> I'm happy to submit this sequence if anyone thinks it is interesting
enough.
Yes, please submit it!  Interesting!

Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com



On Tue, Oct 27, 2020 at 2:16 PM JEREMY GARDINER via SeqFan <
seqfan at list.seqfan.eu> wrote:

>
> With regard to these sequences:
>
> A070939 Length of binary representation of n.
> A004221 10*log_10 (n) rounded up.
>
> Calculating A070939(n^3) I noticed some similarity to the terms of
> A004221(n).
>
> For the values of n where A070939(n^3) differs from A004221(n) I find:
>
>
> 1,20,40,80,101,126,127,159,160,161,200,201,202,203,252,253,254,255,317,318,319,320,321,322,399,400,401,402,403,404,405,406,502,503,504,505,506,507,508,509,510,511,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,
>
> I'm happy to submit this sequence if anyone thinks it is interesting
> enough.
>
> Regards,
>
> Jeremy Gardiner
>
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>