[seqfan] Length of binary representation of n^3

JEREMY GARDINER jeremy.gardiner at btinternet.com
Tue Oct 27 17:54:08 CET 2020


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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