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.
%I A350052 #12 Jan 29 2024 09:02:15
%S A350052 17,41,65,89,113,137,161,185,209,233,257,281,305,329,353,377,401,425,
%T A350052 449,473,497,521,545,569,593,617,641,665,689,713,737,761,785,809,833,
%U A350052 857,881,905,929,953,977,1001,1025,1049,1073
%N A350052 Third part of the trisection of A017077: a(n) = 17 + 24*n.
%C A350052 The trisection of A017077 = {1 + 8*k}_{k>=0} gives A103214 = {1 + 24*n}_{n>=0}, 3*A017101 = {3*(3 + 8*n)}_{n >= 0} and {a(n)}_{n>=0}. These three sequences are congruent to 1 modulo 8 and to 1, 3, and 5 modulo 6, respectively.
%H A350052 Winston de Greef, <a href="/A350052/b350052.txt">Table of n, a(n) for n = 0..10000</a>
%H A350052 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F A350052 a(n) = 17 + 24*n = 17 + A008606(n), for n >= 0
%F A350052 a(n) = 2*a(n-1) - a(n-2), for n >= 1, with a(-1) = -7, a(0) = 17.
%F A350052 G.f.: (17 + 7*x)/(1-x)^2.
%F A350052 E.g.f.: (17 + 24*x)*exp(x).
%t A350052 24 * Range[0, 44] + 17 (* _Amiram Eldar_, Dec 18 2021 *)
%o A350052 (PARI) a(n) = 17 + 24*n \\ _Winston de Greef_, Jan 28 2024
%Y A350052 Cf. A008606, A017077, 3*A017101, A103214.
%K A350052 nonn,easy
%O A350052 0,1
%A A350052 _Wolfdieter Lang_, Dec 11 2021