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 A030015 #19 Jul 08 2025 19:27:04
%S A030015 1,3,8,21,54,137,342,837,2006,4713,10882,24771,55764,124465,275934,
%T A030015 608283,1334120,2911871,6325092,13674121,29425308,63042233,134517426,
%U A030015 285984131,606056546,1280778343,2700105566,5680099085,11925792492,24993841655,52291456452
%N A030015 Binomial transform of {1, primes}.
%H A030015 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%F A030015 G.f.: Prime(x/(1-x)), Prime(x) = Sum_{n>0} A008578(n)*x^n. - _Vladimir Kruchinin_, Aug 11 2010
%t A030015 Flatten[{1, Table[1 + Sum[Binomial[n, k]*Prime[k], {k, 1, n}], {n, 1, 30}]}] (* _Vaclav Kotesovec_, Oct 29 2017 *)
%Y A030015 Cf. A008578, A050513.
%K A030015 nonn
%O A030015 0,2
%A A030015 _N. J. A. Sloane_