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A227523 Values of n such that L(20) and N(20) 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. 20

%I #16 Mar 20 2019 13:09:46

%S 31,-185,-269,-743,-857,-1193,-1637,1711,1945,2371,-2417,2713,2917,

%T 3121,3667,4567,-4787,-6317,6451,6985,7981,8923,9013,9853,-10109,

%U 11365,11521,-12449,12757,13063,-13343,13387,-14003,-14093,-14855,15103,15247,-15605,16483,-16577,17371,17527,-17783,-18119,-18413,-18455,-18563,18703,18763,-18995,19165,19555

%N Values of n such that L(20) and N(20) 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.

%H Vincenzo Librandi, <a href="/A227523/b227523.txt">Table of n, a(n) for n = 1..239</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-A227522.

%K sign,easy

%O 1,1

%A _Vincenzo Librandi_, Jul 14 2013

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Last modified April 25 04:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)