This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A089166 #31 Sep 08 2022 08:45:12
%S A089166 4,5,6,7,8,9,9,13,11,13,14,15,15,17,16,19,19,19,21,23,20,23,23,28,21,
%T A089166 31,25,23,30,32,30,29,31,32,34,30,34,40,32,36,39,37,37,40,38,39,44,42,
%U A089166 45,44,42,42,45,42,48,52,49,45,50,48,51,55,56,47,52,56,56,53,49,58,62,56
%N A089166 Number of primes between squares of successive odd numbers.
%C A089166 As the squares of the successive odd numbers are those numbers appearing on the SE spoke of the Ulam spiral, a(n) also gives the number of primes appearing in the n-th square ring around 1 of the Ulam spiral. - _Scott R. Shannon_, Jan 14 2020
%H A089166 Didier van der Straten, Jon Perry, Mark Underwood, <a href="/A089166/a089166.txt">TR: [PrimeNumbers] pi(x)</a>, digest of 3 messages in primeforms Yahoo group, Aug 29 - Aug 30, 2003. [Cached copy]
%H A089166 Mark Underwood, <a href="http://groups.yahoo.com/group/primenumbers/message/13421">[PrimeNumbers] pi(x)</a>.
%H A089166 Wikipedia, <a href="https://en.wikipedia.org/wiki/Ulam_spiral">Ulam Spiral</a>.
%t A089166 Table[PrimePi[(2n + 1)^2] - PrimePi[(2n - 1)^2], {n, 1, 72}]
%o A089166 (PARI) forstep (k=1,130,2,print1(primepi((k+2)^2)-primepi(k^2),", ")) \\ _Hugo Pfoertner_, Nov 15 2019
%o A089166 (Magma) [#[p:p in PrimesInInterval(k^2,(k+2)^2)]:k in [1..150 by 2]]; // _Marius A. Burtea_, Jan 14 2020
%Y A089166 Cf. A014085, A016754 (odd squares).
%K A089166 nonn
%O A089166 1,1
%A A089166 _Robert G. Wilson v_, Dec 06 2003