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.

A103732 Negative of column k=5 sequence of array A103728.

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%I A103732 #6 Jun 26 2022 19:58:51
%S A103732 5,229,731,4111,8117,25189,94891,137909,366803,641959,830885,1341589,
%T A103732 2549923,4504453,5371979,8803541,11932549,13799879,20843861,26956597,
%U A103732 38735575,60493919,74542099,82483013,100393765,110446523,132966511
%N A103732 Negative of column k=5 sequence of array A103728.
%C A103732 The two a(n) formulas, given below, produce natural numbers for all n>=0.
%F A103732 a(n) = -A103728(n+4, 5)=-(1 -(p(n+4)-1)*binomial(p(n+4)-1, 5))/p(n+4), with p(n):=A000040(n) (n-th prime).
%F A103732 a(n) = -(394 - 499*p(n+4) + 310*p(n+4)^2 - 100*p(n+4)^3 + 16*p(n+4)^4 - p(n+4)^5)/5! = -(Sum_{m=0..5} A103718(k, m)*p(n+4)^m)/5!.
%Y A103732 Cf. A000040, A103718, A103728.
%K A103732 nonn,easy
%O A103732 0,1
%A A103732 _Wolfdieter Lang_, Feb 24 2005