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 A331134 #15 Apr 23 2024 08:28:35
%S A331134 0,1,1,1,3,3,3,3,3,3,3,3,5,5,5,5,7,7,7,7,7,7,7,7,7,7,7,7,9,9,9,9,9,9,
%T A331134 9,9,11,11,11,11,13,13,13,13,13,13,13,13,13,13,13,13,15,15,15,15,15,
%U A331134 15,15,15,17,17,17,17,17,17,17,17,17,17,17,17,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,21
%N A331134 a(n) = Sum_{primes p <= n} r_2(p)/4, where r_2(n) = A004018(n).
%H A331134 Amiram Eldar, <a href="/A331134/b331134.txt">Table of n, a(n) for n = 1..10000</a>
%H A331134 Yoichi Motohashi, <a href="http://matwbn.icm.edu.pl/ksiazki/aa/aa16/aa1633.pdf">On the distribution of prime numbers which are of the form x^2+y^2+1</a>, Acta Arith. 16 (1969/70), 351-363. MR0288086 (44 #5284).
%t A331134 Accumulate[Table[If[PrimeQ[n], SquaresR[2, n], 0], {n, 1, 100}]/4] (* _Amiram Eldar_, Apr 23 2024 *)
%Y A331134 Cf. A004018, A331135.
%K A331134 nonn
%O A331134 1,5
%A A331134 _N. J. A. Sloane_, Jan 11 2020