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 A164560 #18 Apr 18 2024 09:17:36 %S A164560 1,5,11,35,71,215,431,1295,2591,7775,15551,46655,93311,279935,559871, %T A164560 1679615,3359231,10077695,20155391,60466175,120932351,362797055, %U A164560 725594111,2176782335,4353564671,13060694015,26121388031,78364164095 %N A164560 Partial sums of A164532. %C A164560 Interleaving of A164559 and A024062 without initial term 0. %H A164560 Vincenzo Librandi, <a href="/A164560/b164560.txt">Table of n, a(n) for n = 1..900</a> %H A164560 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,6,-6). %F A164560 a(n) = 6*a(n-2)+5 for n > 2; a(1) = 1, a(2) = 5. %F A164560 a(n) = (3-(-1)^n)*6^(1/4*(2*n-1+(-1)^n))/2-1. %F A164560 G.f.: x*(1+4*x)/((1-x)*(1-6*x^2)). %F A164560 a(n) = A026549(n) - 1. %o A164560 (Magma) T:=[ n le 2 select 3*n-2 else 6*Self(n-2): n in [1..28] ]; [ n eq 1 select T[1] else Self(n-1)+T[n]: n in [1..#T]]; %Y A164560 Cf. A164532, A164123 (partial sums of A162436), A164559 (6^n/3-1), A024062 (6^n-1), A026549. %K A164560 nonn,easy %O A164560 1,2 %A A164560 _Klaus Brockhaus_, Aug 16 2009