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 A238698 #10 Mar 11 2014 18:22:39
%S A238698 1,27,3599,29157,1362009,271400395,1469088801,201573262419,
%T A238698 4910195172327,23758960017789,538608637491505,54480012827209187,
%U A238698 5189654331623024397,23446625614115858667,2104894813684998321045,41392675008326544152201,182632116049323564469767
%N A238698 Quotients connected with the Banach matchboxes problem: Sum_{i=1..prime(n)-9} 2^(i-1)*binomial(i+3,4)/prime(n) (case 4).
%C A238698 See comment in A238693.
%H A238698 V. Shevelev, <a href="http://arxiv.org/abs/1110.5686">Banach matchboxes problem and a congruence for primes</a>, arXiv:1110.5686
%t A238698 k=4;(*case 4*)
%t A238698 Table[Sum[2^(i-1)Binomial[i+k-1,k],{i,p-(2k+1)}]/p,{p,Prime[Range[k+1,20]]}] (* _Peter J. C. Moses_, Mar 04 2014 *)
%Y A238698 Cf. A238693, A238697.
%K A238698 nonn
%O A238698 5,2
%A A238698 _Vladimir Shevelev_, Mar 03 2014
%E A238698 More terms from _Peter J. C. Moses_, Mar 03 2014