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 A358053 #42 Apr 03 2025 17:16:28 %S A358053 13,27,41,55,69,83,97,111,125,139,153,167,181,195,209,223,237,251,265, %T A358053 279,293,307,321,335,349,363,377,391,405,419,433,447,461,475,489,503, %U A358053 517,531,545,559,573,587,601,615,629,643,657,671,685,699,713,727,741,755,769,783,797 %N A358053 a(n) = 14*n - 1. %C A358053 This sequence can be illustrated by a star outline with a central row of counters. %C A358053 Subsequence of primes is A045473. - _Bernard Schott_, Jan 25 2023 %H A358053 Paolo Xausa, <a href="/A358053/b358053.txt">Table of n, a(n) for n = 1..10000</a> %H A358053 Leo Tavares, <a href="/A358053/a358053.jpg">Illustration: Mid-line Stars</a>. %H A358053 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1). %F A358053 a(n) = 14*n - 1. %F A358053 a(n) = A003154(n+1) - A202804(n-1). %F A358053 a(n) = A003154(n+1) - 2*A045944(n-1). %F A358053 From _Elmo R. Oliveira_, Apr 03 2025: (Start) %F A358053 G.f.: x*(13 + x)/(x - 1)^2. %F A358053 E.g.f.: exp(x)*(14*x - 1) + 1. %F A358053 a(n) = A017053(2*n-1). %F A358053 a(n) = 2*a(n-1) - a(n-2) for n > 2. (End) %t A358053 14*Range[100] - 1 (* _Paolo Xausa_, Oct 04 2024 *) %Y A358053 Cf. A008596, A003154, A017053, A045473, A045944, A202804. %K A358053 nonn,easy %O A358053 1,1 %A A358053 _Leo Tavares_, Oct 27 2022