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 A347836 #18 Dec 24 2024 02:42:44 %S A347836 5,13,29,37,45,61,69,77,93,101,109,125,133,141,157,165,173,189,197, %T A347836 205,221,229,237,253,261,269,285,293,301,317,325,333,349,357,365,381, %U A347836 389,397,413,421,429,445,453,461,477,485,493 %N A347836 a(n) = 8*(n + floor(n/3)) - 3; second column of A347834. %H A347836 Paolo Xausa, <a href="/A347836/b347836.txt">Table of n, a(n) for n = 1..10000</a> %H A347836 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,1,-1). %F A347836 a(n) = A347834(n, 1) = A178415(A265667(n), 2), for n >= 1. %F A347836 a(n) = ((3*A047529(n) + 1)*4 - 1)/3 = ((3*(n + floor(n/3)) - 1)*8 - 1)/3 = ((A319451(n) - 1)*8 - 1)/3, for n >= 1. %F A347836 O.g.f.: G(x) = (-3 + 8*x + 8*x^2 + 19*x^3)/((1 - x)*(1 - x^3)), with a(0) = -3. %p A347836 seq(8*(n + floor(n/3)) - 3, n = 1..47); # _Peter Luschny_, Oct 10 2021 %t A347836 A347836[n_] := 8*(n + Floor[n/3]) - 3; Array[A347836, 50] (* or *) %t A347836 LinearRecurrence[{1, 0, 1, -1}, {5, 13, 29, 37}, 50] (* _Paolo Xausa_, Feb 27 2024 *) %Y A347836 Cf. A047529 (first column), A178415, A265667, A319451, A347834, A347837 (third column). %K A347836 nonn,easy %O A347836 1,1 %A A347836 _Wolfdieter Lang_, Oct 07 2021