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A111198 Numbers n such that sequence A_n does not contain a perfect square. 1

%I #16 Dec 25 2022 20:01:52

%S 37,40,43,57,58,101

%N Numbers n such that sequence A_n does not contain a perfect square.

%C That is, the complete sequence A_n, not just the terms that are shown in the entry, does not contain a perfect square or the negative of a perfect square. (In particular, sequences containing 0 or 1 are excluded.)

%C No more terms up through 130. Does A000131 contain a perfect square?

%C I've checked A000131 up to a(25000) and can report that I found no perfect square. - _Robert G. Wilson v_, Jun 23 2014

%H <a href="/index/Se#selfies">Index entries for sequences whose definition involves A_n (or An)</a>.

%e The first term, 37, refers to the sequence A000037, the nonsquares. All of A000001-A000036 contain obvious square terms.

%e The second term, 40, refers to A000040, the primes. Obviously any sequence which is a subset of the primes (e.g. A000043) also gives a term.

%K nonn,dumb,less

%O 1,1

%A _Zak Seidov_, Oct 24 2005

%E Let's have no more sequences of this type! - _N. J. A. Sloane_, Oct 23 2005

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Last modified September 18 18:09 EDT 2024. Contains 376002 sequences. (Running on oeis4.)