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 A103915 #4 Jun 16 2016 23:27:27 %S A103915 1,61,7537,41455,618531,12670589,29075821,247316941,826985881, %T A103915 1437223369,3989619561,15521533197,51295084349,74158059901, %U A103915 207831585787,391117136551,528866563321,1242387913729,2113505780927,4462952476841 %N A103915 Column k=10 sequence of array A103728. %C A103915 The two a(n) formulas, given below, produce natural numbers for all n>=0. %F A103915 a(n)=A103728(n+5, 10)=(1 +(p(n+5)-1)*binomial(p(n+5)-1, 10))/p(n+5), with p(n):=A000040(n) (n-th prime). %F A103915 a(n)= (14257440 - 23382216*p(n+5) + 21163076*p(n+5)^2 - 11826430*p(n+5)^3 + 4318985*p(n+5)^4 - 1059828*p(n+5)^5 + 175923*p(n+5)^6 -19470*p(n+5)^7 + 1375*p(n+5)^8 - 56*p(n+5)^9 + 1*p(n+5)^10)/10! = sum(A103718(k, m)*p(n+5)^m, m=0..10)/10!. %Y A103915 For columns k=0..9 see A000012 (powers of 1), A040976 (primes p(n)-2), A103729-A103735, A103914. %K A103915 nonn,easy %O A103915 0,2 %A A103915 _Wolfdieter Lang_, Feb 24 2005