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 A141845 #16 Sep 10 2024 15:55:45 %S A141845 1,7,38,194,976,4887,24443,122224,611131,3055667,15278348,76391754, %T A141845 381958786,1909793947,9548969753,47744848784,238724243941, %U A141845 1193621219727,5968106098658,29840530493314,149202652466596,746013262333007 %N A141845 a(n) = 5*a(n-1) + A047201(n), a(1) = 1. A047201 = numbers not divisible by 5: (1, 2, 3, 4, 6, 7, 8, 9, 11, ...). %H A141845 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-5,0,1,-6,5). %F A141845 G.f.: (1+x+x^2+x^3+x^4)/((1-x)^2(1+x)(1+x^2)(1-5x)). - _R. J. Mathar_, Sep 06 2008 %e A141845 a(4) = 194 = 5*a(3) + A047201(4) = 5*38 + 4. %t A141845 LinearRecurrence[{6,-5,0,1,-6,5},{1,7,38,194,976,4887},30] (* _Harvey P. Dale_, Sep 10 2024 *) %Y A141845 Cf. A047201. %K A141845 nonn %O A141845 1,2 %A A141845 _Gary W. Adamson_, Jul 11 2008 %E A141845 Extended and corrected by _R. J. Mathar_, Sep 06 2008