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 A164096 #7 Jul 03 2023 11:16:20 %S A164096 5,11,21,33,53,77,117,165,245,341,501,693,1013,1397,2037,2805,4085, %T A164096 5621,8181,11253,16373,22517,32757,45045,65525,90101,131061,180213, %U A164096 262133,360437,524277,720885,1048565,1441781,2097141,2883573,4194293,5767157 %N A164096 Partial sums of A164095. %H A164096 Vincenzo Librandi, <a href="/A164096/b164096.txt">Table of n, a(n) for n = 1..1000</a> %H A164096 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1, 2, -2). %F A164096 a(n) = 2*a(n-2)+11 for n > 2; a(1) = 5, a(2) = 11. %F A164096 a(n) = (27-5*(-1)^n)*2^(1/4*(2*n-1+(-1)^n))/2-11. %F A164096 G.f.: x*(5+6*x)/(1-x-2*x^2+2*x^3). %o A164096 (Magma) T:=[ n le 2 select n+4 else 2*Self(n-2): n in [1..38] ]; [ n eq 1 select T[1] else Self(n-1)+T[n]: n in [1..#T]]; %Y A164096 Cf. A164095. %K A164096 nonn %O A164096 1,1 %A A164096 _Klaus Brockhaus_, Aug 10 2009