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 A120315 #8 Jun 16 2016 23:27:30
%S A120315 32,8,32,52,208,508,2672,9278,56048,304132,1654552,12649198,79342112,
%T A120315 615363002,5010269828,43213043413,393086195632,3633203615548,
%U A120315 38586294965048,389261740224662,4344329090764472,51205748753742838
%N A120315 Combinatorial prime formulas. This sequence gives the coefficients a(n) of combinatorial sum formulas of n-th primes or lesser: prime(n) = 2^(n-5)/(n-1)! Sum_{i=1..n} a(i) * C(n-1,i-1) * (1-(n-i)/2).
%e A120315 prime(7) = [ 2^(7-5)/(7-1)! ] * [ 32*C(7-1,0)*(1-(7-1)/2) + 8*C(7-1,1)*(1-(7-2)/2) + 32*C(7-1,2)*(1-(7-3)/2) + 52*C(7-1,3)*(1-(7-4)/2) + 208*C(7-1,4)*(1-(7-5)/2) + 508*C(7-1,5)*(1-(7-6)/2) + 2672*C(7-1,6)*(1-(7-7)/2) ] = 17
%Y A120315 Cf. A000040, A007504, A000166, A115298, A008275.
%K A120315 easy,nonn
%O A120315 1,1
%A A120315 _André F. Labossière_, Jun 20 2006