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.

A327447 a(n) = 4*p(n-1)*p(n+1) - p(n)^2, where p(k) = k-th prime.

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%I A327447 #15 Apr 25 2024 05:18:31
%S A327447 31,59,171,243,579,699,1203,1675,2011,3331,3715,4683,5859,6907,8283,
%T A327447 9451,12091,12835,14523,17107,17995,21235,24283,26547,29763,32619,
%U A327447 33459,36483,42603,43083,52435,54067,62331,61755,70771,73803,78307,84907,89643,93211,103995,103251,113259,114819,126667,132987,141859
%N A327447 a(n) = 4*p(n-1)*p(n+1) - p(n)^2, where p(k) = k-th prime.
%C A327447 It follows from Sándor et al., Sect. VII.18(b) that a(n) > 0 for all n.
%D A327447 József Sándor, Dragoslav S. Mitrinovic, and Borislav Crstici, Handbook of Number Theory I, Springer Science & Business Media, 2005, Chapter VII, p. 247, section VII.18(b).
%t A327447 With[{p = Prime[Range[50]]}, 4 * p[[1;;-3]] * p[[3;;-1]] - p[[2;;-2]]^2] (* _Amiram Eldar_, Apr 25 2024 *)
%Y A327447 Cf. A309487, A324795.
%K A327447 nonn
%O A327447 2,1
%A A327447 _N. J. A. Sloane_, Sep 14 2019