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.

A178398 a(n) = p(p+1)^2, where p is the n-th prime.

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%I A178398 #22 Aug 12 2025 19:29:38
%S A178398 18,48,180,448,1584,2548,5508,7600,13248,26100,31744,53428,72324,
%T A178398 83248,108288,154548,212400,234484,309808,368064,399748,505600,585648,
%U A178398 720900,931588,1050804,1114048,1248048,1318900,1468548,2080768,2282544,2609028,2724400,3352500,3488704,3919348,4384048,4713408,5237748,5799600,5995444,7041024,7263748,7723188,7960000,9483184,11189248,11800368,12114100
%N A178398 a(n) = p(p+1)^2, where p is the n-th prime.
%H A178398 Harvey P. Dale, <a href="/A178398/b178398.txt">Table of n, a(n) for n = 1..1000</a>
%F A178398 a(n) = A000040(n)*A110833(n) = A000040(n)*A008864(n)^2 = A008864(n)*A036690(n). - _Michel Marcus_, Jun 24 2013
%F A178398 Sum 1/a(n) = A382567. - _R. J. Mathar_, Mar 31 2025
%t A178398 Table[p (p+1)^2,{p,Prime[Range[50]]}] (* _Harvey P. Dale_, Aug 12 2025 *)
%o A178398 (PARI) a(n) = prime(n)*(prime(n)+1)^2 \\ _Michel Marcus_, Jun 24 2013
%K A178398 nonn
%O A178398 1,1
%A A178398 _Eduard Mayer_, Dec 21 2010
%E A178398 Edited by _N. J. A. Sloane_, Dec 21 2010