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 A116553 #16 Jun 27 2025 23:41:01 %S A116553 1,5,6,25,31,30,41,125,156,155,211,150,211,205,276,625,791,780,1061, %T A116553 775,1086,1055,1421,750,1111,1055,1416,1025,1441,1380,1861,3125,4026, %U A116553 3955,5371,3900,5471,5305,7146,3875,5711,5430,7291,5275,7416,7105,9581,3750 %N A116553 a(2*n+1) = 5*a(n), a(2*n+2) = 6*a(n) + a(n-1). %H A116553 G. C. Greubel, <a href="/A116553/b116553.txt">Table of n, a(n) for n = 0..2500</a> %F A116553 From _G. C. Greubel_, Oct 30 2016: (Start) %F A116553 a(2*n+1) = 5*a(n). %F A116553 a(2*n+2) = 6*a(n) + a(n-1). (End) %t A116553 b[0] := 0; b[1] := 1; %t A116553 b[n_?EvenQ] := b[n] = 5*b[n/2]; %t A116553 b[n_?OddQ] := b[n] = 6*b[(n - 1)/2] + b[(n - 3)/2]; %t A116553 Table[b[n], {n, 1, 70}] %Y A116553 Cf. A116528, A116529, A116552, A116554, A116555. %K A116553 nonn,easy %O A116553 0,2 %A A116553 _Roger L. Bagula_, Mar 15 2006 %E A116553 New name using formula, _Joerg Arndt_, Dec 17 2022