cp's OEIS Frontend

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.

A103734 Negative of column k=7 sequence of array A103728.

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%I A103734 #4 Jun 16 2016 23:27:27
%S A103734 109,731,10767,30149,163129,1143211,1970129,8122067,18188839,26350925,
%T A103734 52385857,131260323,295577917,379875659,767165717,1181890569,
%U A103734 1452930119,2608460321,3755952517,6277007703,11796314207,15849070099,18287662313
%N A103734 Negative of column k=7 sequence of array A103728.
%C A103734 The two a(n) formulas, given below, produce natural numbers for all n>=0.
%F A103734 a(n)=-A103728(n+5, 7)=-(1 -(p(n+5)-1)*binomial(p(n+5)-1, 7))/p(n+5), with p(n):=A000040(n) (n-th prime).
%F A103734 a(n)= -(18108 - 26200*p(n+5) + 19901*p(n+5)^2 - 8729*p(n+5)^3 + 2282*p(n+5)^4 - 350*p(n+5)^5 + 29*p(n+5)^6 - p(n+5)^7)/7! = -sum(A103718(k, m)*p(n+5)^m, m=0..7)/7!.
%K A103734 nonn,easy
%O A103734 0,1
%A A103734 _Wolfdieter Lang_, Feb 24 2005