A299101 Indices of (probable) primes in A030221.

2, 3, 5, 6, 8, 9, 15, 18, 23, 53, 114, 194, 564, 575, 585, 2594, 3143, 4578, 4970, 9261, 11508, 13298, 30018, 54993, 198476

Offset

1,1

Comments

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

a(25) > 2*10^5. - Robert Price, Jul 03 2020

Links

Table of n, a(n) for n=1..25.

Andrew N. W. Hone, et al., On a family of sequences related to Chebyshev polynomials, arXiv:1802.01793 [math.NT], 2018.

Formula

A299109(n) = A030221(a(n)). - R. J. Mathar, Jul 22 2022

Mathematica

-1 + Position[Nest[Append[#, 5 #[[-1]] - #[[-2]] ] &, {1, 6}, 2600], _?PrimeQ][[All, 1]] (* Michael De Vlieger, Jul 03 2020 *)

Crossrefs

Cf. A269254, A030221, A294099 (row 5).

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

Sequence in context: A063756 A358291 A117522 * A335658 A364807 A294941

Adjacent sequences: A299098 A299099 A299100 * A299102 A299103 A299104

Keyword

nonn,hard,more

Author

L. Edson Jeffery, Bob Selcoe and Andrew Hone, Feb 02 2018

Extensions

a(24) from Robert Price, Jul 03 2020

Status

approved