[seqfan] Re: A new and surprisingly hard elementary number theory question

Michael De Vlieger mike at vincico.com
Sun May 7 03:16:14 CEST 2017


Looking at A284597 and A285893 we could write other sequences like this:

 

(little) omega (A001221):

{11, 13, 7, 512, 1, 1941, 141, 6847, 211, 195031, 82321, 808083, 534077,
3355906, 526093, .}

 

(big) Omega (A001222):

{5, 43, 1, 2021, 121, 25202, 2521, 162121, 460801, .}

 

Phi (A000010): (I thought I saw something similar already in the database)

{6, 315, 14, 1, .}

 

I am not sure how generally interesting these other sequences might be, nor
am I necessarily proposing to add such into the database. These involve
related basic elementary number theory functions. Also I might be missing
"singletons" in the above numbers. These were calculated using a slightly
different Mathematica code than the ones I added to the two proposed similar
sequences and searched n <= 10^7. 

 

Michael De Vlieger

 




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