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 A174927 #7 Jun 30 2023 15:15:29 %S A174927 1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1, %T A174927 64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64, %U A174927 1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64,1,64 %N A174927 Periodic sequence: Repeat 1, 64. %C A174927 Interleaving of A000012 and 2*A010871. %C A174927 Also continued fraction expansion of (4+sqrt(17))/8. %C A174927 First differences of A174928. %H A174927 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0, 1). %F A174927 a(n) = (65-63*(-1)^n)/2. %F A174927 a(n) = a(n-2) for n > 1; a(0) = 0, a(1) = 64. %F A174927 a(n) = -a(n-1)+65 for n > 0; a(0) = 1. %F A174927 a(n) = ((n+1) mod 2)+64*(n mod 2). %F A174927 G.f.: (1+64*x)/((1-x)*(1+x)). %t A174927 PadRight[{},100,{1,64}] (* _Harvey P. Dale_, Jun 16 2013 *) %o A174927 (Magma) &cat[ [1, 64]: n in [0..41] ]; %o A174927 [ (65-63*(-1)^n)/2: n in [0..83] ]; %Y A174927 Cf. A000012 (all 1's sequence), A010871 (all 32's sequence), A010689 (repeat 1, 8), A174930 (decimal expansion of (4+sqrt(17))/8), A174928. %K A174927 cofr,easy,nonn %O A174927 0,2 %A A174927 _Klaus Brockhaus_, Apr 02 2010