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 A010726 #28 Dec 14 2023 06:06:14 %S A010726 6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6, %T A010726 10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10,6,10, %U A010726 6,10,6,10,6,10,6,10,6,10,6,10 %N A010726 Period 2: repeat (6,10). %C A010726 From _Klaus Brockhaus_, Dec 10 2009: (Start) %C A010726 Interleaving of A010722 and A010692. %C A010726 Also continued fraction expansion of 3 + 4*sqrt(15)/5. %C A010726 Binomial transform of 6 followed by A122803 without initial terms 1,-2. %C A010726 Inverse binomial transform of A171494. (End) %H A010726 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0,1). %F A010726 a(n) = -2*(-1)^n + 8. - _Paolo P. Lava_, Oct 27 2006 %F A010726 From _Klaus Brockhaus_, Dec 10 2009: (Start) %F A010726 a(n) = a(n-2) for n > 1; a(0) = 6, a(1) = 10. %F A010726 G.f.: 2*(3+5*x)/((1-x)*(1+x)). (End) %t A010726 LinearRecurrence[{0,1},{6,10},90] (* or *) PadRight[{},90,{6,10}] (* _Harvey P. Dale_, Mar 07 2015 *) %o A010726 (Magma) &cat[ [6, 10]: n in [1..42] ]; // _Klaus Brockhaus_, Dec 10 2009 %o A010726 (PARI) a(n)=6+n%2*4 \\ _Charles R Greathouse IV_, Dec 21 2011 %Y A010726 Equals 2*A010703. Cf. A010722 (all 6's sequence), A010692 (all 10's sequence), A122803 (powers of -2), A171494. - _Klaus Brockhaus_, Dec 10 2009 %K A010726 nonn,easy %O A010726 0,1 %A A010726 _N. J. A. Sloane_