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 A178167 #6 Dec 19 2020 09:31:21 %S A178167 3,8,20,50,122,290,674,1538,3462,7720,17104,37708,82768,180880,393488, %T A178167 851914,1835470,3935808,8402158,17865738,37858268,79991512,168605710, %U A178167 354649382,744605426,1560666296,3265699888,6822355756,14229565634 %N A178167 Binomial transform of odd primes. %C A178167 03 05 07 11 13 08 12 18 24 20 30 42 50 72 122 %t A178167 q=33;lst=Prime[Range[2,q]]; lst1={First[lst]};Do[lst=Table[Abs[lst[[n]]+lst[[n+1]]],{n,1,Length[lst]-1}];AppendTo[lst1,First[lst]],{k,q-2}];lst1 %t A178167 Differences[Table[Sum[Binomial[n-1, k-1]*Prime[k], {k, 1, n}], {n, 1, 30}]] (* _Vaclav Kotesovec_, Dec 19 2020 *) %Y A178167 First differences of A007443. %K A178167 nonn %O A178167 1,1 %A A178167 _Vladimir Joseph Stephan Orlovsky_, May 21 2010