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 A297127 #17 Dec 28 2017 07:12:41 %S A297127 33703,359788,7410526,55075448,823614244,2238479798,11171417938, %T A297127 21787752284,68501592808,275166205414,410273756384,1185793577918, %U A297127 2195777500954,2921567789828,4984278115408,10240918233838,19486182370804,23813901313094,41782891225388 %N A297127 a(n) = (1/2) * Sum_{|k|<2*sqrt(p)} A297122(4*p-k^2) where p is n-th prime. %H A297127 Seiichi Manyama, <a href="/A297127/b297127.txt">Table of n, a(n) for n = 1..1000</a> %H A297127 Olivier Rozier, <a href="http://www.ipgp.fr/~rozier/math/raman.html">Ramanujan's tau function</a> %F A297127 A076847(n) = A000594(prime(n)) = a(n) - A297123(prime(n)) . %e A297127 a(2) = (1/2) * (32768 + 2*16807 + 2*512) = 33703. %e A297127 tau(2) = 33703 - 33727 = -24. %e A297127 a(3) = (1/2) * (331776 + 2*161051 + 2*32768 + 2*81) = 359788. %e A297127 tau(3) = 359788 - 359536 = 252. %Y A297127 Cf. A000594 (tau(n)), A076847, A297122, A297123. %K A297127 nonn %O A297127 1,1 %A A297127 _Seiichi Manyama_, Dec 26 2017