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 A097135 #24 Feb 23 2024 07:28:28 %S A097135 1,3,3,6,9,15,24,39,63,102,165,267,432,699,1131,1830,2961,4791,7752, %T A097135 12543,20295,32838,53133,85971,139104,225075,364179,589254,953433, %U A097135 1542687,2496120,4038807,6534927,10573734,17108661,27682395,44791056,72473451,117264507 %N A097135 a(0) = 1; for n>0, a(n) = 3*Fibonacci(n). %C A097135 Binomial transform is A097136. %H A097135 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (1,1). %F A097135 G.f. : (1+2*x-x^2)/(1-x-x^2). %F A097135 a(n) = a(n-1)+a(n-2) for n>2. %F A097135 a(2n) = A097134(n); a(2n+1) = 3*F(2n+1). %t A097135 Join[{1}, Table[3*Fibonacci[n], {n, 70}]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 10 2012 *) %o A097135 (PARI) a(n)=if(n,3*finonacci(n),1) \\ _Charles R Greathouse IV_, Oct 16 2015 %Y A097135 Cf. A000032, A000045. %Y A097135 Essentially the same as A022086. %K A097135 nonn,easy %O A097135 0,2 %A A097135 _Paul Barry_, Jul 26 2004 %E A097135 Definition rewritten by _N. J. A. Sloane_, Jan 24 2010