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 A294114 #17 Apr 28 2020 00:45:31
%S A294114 0,2,7,11,20,26,39,47,55,63,82,92,115,127,139,151,180,194,227,243,259,
%T A294114 275,314,332,350,368,386,404,451,471,522,544,566,588,610,632,691,715,
%U A294114 739,763,828,854,923,951,979,1007,1082,1112,1142,1172,1202,1232,1315
%N A294114 Sum of the larger parts of the partitions of 2n into two parts with smaller part prime.
%H A294114 Harvey P. Dale, <a href="/A294114/b294114.txt">Table of n, a(n) for n = 1..1000</a>
%H A294114 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F A294114 a(n) = Sum_{i=1..n} (2*n - i) * c(i), where c is the prime characteristic (A010051).
%t A294114 Table[Sum[(2 n - i) (PrimePi[i] - PrimePi[i - 1]), {i, n}], {n, 80}]
%t A294114 Table[Total[Select[IntegerPartitions[2 n,{2}],PrimeQ[#[[2]]]&][[All,1]]],{n,60}] (* _Harvey P. Dale_, Apr 19 2020 *)
%Y A294114 Cf. A010051, A294113.
%K A294114 nonn,easy
%O A294114 1,2
%A A294114 _Wesley Ivan Hurt_, Oct 22 2017