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 A373699 #10 Jun 17 2024 18:36:56
%S A373699 4,10,19,31,46,64,85,111,141,175,214,256,301,351,407,467,531,600,672,
%T A373699 748,829,915,1008,1107,1209,1314,1422,1533,1653,1782,1916,2054,2198,
%U A373699 2348,2502,2662,2827,2997,3173,3353,3539,3731,3926,4124,4329,4546,4771,4999,5230
%N A373699 a(n) is the area of the (n+1)-gon having vertices coordinates (2,0), (2,prime(2)), ..., (n,prime(n)), (n,0).
%C A373699 In other words, area between the polyline (2,prime(2)), (3,prime(3)), ..., (n,prime(n)) and the x axis.
%H A373699 Paolo Xausa, <a href="/A373699/b373699.txt">Table of n, a(n) for n = 3..10000</a>
%F A373699 a(n) = Sum_{k=1..n-2} A024675(k).
%t A373699 Accumulate[Most[#] + Differences[#]/2] & [Prime[Range[2, 100]]]
%Y A373699 Cf. A000040.
%Y A373699 Partial sums of A024675.
%K A373699 nonn,easy
%O A373699 3,1
%A A373699 _Paolo Xausa_, Jun 17 2024