[seqfan] Re: I wonder

[Vladimir Shevelev]

Many perfect squares in {a(i)}. The corresponding characteristic sequence for them is: {1,0,0,1,1,0,1,1,0,0,1,0,0,1 (...)}. Up to now it coincides with A083035. Continue a research: how many coinciding terms among the first n ones?  It is truth, I am not  feeling what does lead a such research to? But you could try.

Regards,
Vladimir

----- Original Message -----
From: Veikko Pohjola <veikko at nordem.fi>
Date: Saturday, July 17, 2010 10:28
Subject: [seqfan]  I wonder
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>

> Might these be of some more general interest?
> 1. The sequence a(i) of the integer terms of a(n) = 
> n^2/PrimePi(n), n=2,3,4,....
> a(i) = 4, 8, 12, 16, 25, 50, 64, 81, 90, 99, 196, 242, 384, 400, ...
> 2. The sequence n(i) of the integer terms of a(n)
> n(i) = 2, 4, 6, 8, 10, 20, 24, 27, 30, 33, 56, 66, 96, 100, ...
> 
> For me, so far, they just look nicely progressing sequences.
> Veikko
> 
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 Shevelev Vladimir‎