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 A103735 #4 Jun 16 2016 23:27:27 %S A103735 41,457,12113,41455,305867,3000929,5664121,29442493,75028961, %T A103735 115285297,255381053,738339317,1884309221,2516676241,5657847163, %U A103735 9307388231,11805057217,23150085349,35212054847,63554702993,131233995553 %N A103735 Column k=8 sequence of array A103728. %C A103735 The two a(n) formulas, given below, produce natural numbers for all n>=0. %F A103735 a(n)=A103728(n+5, 8)=(1 +(p(n+5)-1)*binomial(p(n+5)-1, 8))/p(n+5), with p(n):=A000040(n) (n-th prime). %F A103735 a(n)= (149904 - 227708*p(n+5) + 185408* p(n+5)^2 - 89733*p(n+5)^3 + 26985*p(n+5)^4 - 5082*p(n+5)^5 + 582*p(n+5)^6 - 37*p(n+5)^7 + 1*p(n+5)^8)/8! = sum(A103718(k, m)*p(n+5)^m, m=0..8)/8!. %K A103735 nonn,easy %O A103735 0,1 %A A103735 _Wolfdieter Lang_, Feb 24 2005