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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.

A293210 a(n) = [x^n] (1/(1 - x)^n)*Sum_{k>=1} prime(k)*x^k.

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%I A293210 #5 Oct 02 2017 18:57:32
%S A293210 0,2,7,26,97,366,1388,5288,20225,77618,298766,1153018,4460072,
%T A293210 17287558,67129566,261095420,1016994627,3966529870,15488964428,
%U A293210 60549061804,236932924494,927984726826,3637661249946,14270586372348,56024073085546,220089137078792,865154426179408,3402841810234762,13391422390407194
%N A293210 a(n) = [x^n] (1/(1 - x)^n)*Sum_{k>=1} prime(k)*x^k.
%F A293210 a(n) = A254858(n,n).
%t A293210 Table[SeriesCoefficient[1/(1 - x)^n Sum[Prime[k] x^k, {k, 1, n}], {x, 0, n}], {n, 0, 28}]
%Y A293210 Diagonal of A254858.
%Y A293210 Cf. A000040, A007504, A014148, A014150, A178138, A254784.
%Y A293210 CF. A007442, A082594.
%K A293210 nonn
%O A293210 0,2
%A A293210 _Ilya Gutkovskiy_, Oct 02 2017