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A227522 Values of n such that L(19) and N(19) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n. 2

%I

%S -123,-221,-255,-311,487,-561,709,-1055,1273,-1425,-1475,-1767,1833,

%T -1893,2127,-2391,-2475,-2595,2769,-2895,-3053,-3183,-3543,-3627,3765,

%U 3919,4069,-4113,4203,4315,4609,-4953,5175,5347,5413,-5657,6117,-6515,-6585,-6597,-6833,6915

%N Values of n such that L(19) and N(19) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.

%C Computed with PARI using commands similar to those used to compute A226921.

%H Vincenzo Librandi and Joerg Arndt, <a href="/A227522/b227522.txt">Table of n, a(n) for n = 1..421</a>

%H Eric L. F. Roettger, <a href="http://people.ucalgary.ca/~hwilliam/files/A_Cubic_Extention_of_the_Lucas_Functions.pdf">A cubic extension of the Lucas functions</a>, Thesis, Dept. of Mathematics and Statistics, Univ. of Calgary, 2009. See page 195.

%Y Cf. A226921-A226929, A227448, A227449, A227515-A227523.

%K sign,easy

%O 1,1

%A _Vincenzo Librandi_, Jul 14 2013

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Last modified November 15 05:50 EST 2019. Contains 329144 sequences. (Running on oeis4.)