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A299107 Probable primes in sequence {s_k(4)}, where s_k(4) = 4*s_{k-1}(4) - s_{k-2}(4), k >= 2, s_0(4) = 1, s_1(4) = 5. 15

%I #21 Feb 20 2018 12:25:16

%S 5,19,71,3691,191861,138907099,26947261171,

%T 436315574686414344004975231616076636245689199862837798457639364993981991744926792179

%N Probable primes in sequence {s_k(4)}, where s_k(4) = 4*s_{k-1}(4) - s_{k-2}(4), k >= 2, s_0(4) = 1, s_1(4) = 5.

%C From a problem in A269254. For detailed theory, see [Hone].

%C Subsequent terms have too many digits to display.

%H Andrew N. W. Hone, et al., <a href="https://arxiv.org/abs/1802.01793">On a family of sequences related to Chebyshev polynomials</a>, arXiv:1802.01793 [math.NT], 2018.

%F a(n) = s_{A299100(n)}(4) = A001834(A299100(n)).

%Y A269254, A001834, A294099 (row 4),

%Y Cf. A285992, A299107, A299109, A088165, A117522, A299100, A299101, A113501, A269253, A298675, A298677, A298878, A299045, A299071, A086386.

%K nonn,hard,more

%O 1,1

%A _L. Edson Jeffery_, _Bob Selcoe_ and _Andrew Hone_, Feb 02 2018

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)