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 A284985 #19 Jul 16 2024 14:22:44 %S A284985 0,24,13824,7962600,4586443776,2641783652376,1521662797324800, %T A284985 876475129475432424,504848152915051751424,290791659603940333387800, %U A284985 167495491083716716979621376,96477112072561225039928524776,55570649058304181906281850649600 %N A284985 a(0)=0, a(1)=24; for n>=2, a(n)=576*a(n-1)-a(n-2). %C A284985 a(n-1) and a(n+1) are the solutions for c if b=a(n) in (b^2+c^2)/(b*c+1)=576 and there are no other pairs of solutions apart from consecutive pairs of terms in this sequence. %H A284985 Colin Barker, <a href="/A284985/b284985.txt">Table of n, a(n) for n = 0..350</a> %H A284985 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (576,-1). %F A284985 a(n) = 576*a(n-1)-a(n-2). %F A284985 a(n) = 12/(17*sqrt(287))*(((-1/(288+17287))^(n))+((288+(17*sqrt(287)))^(n))). %F A284985 G.f.: 24*x/(1-576*x+x^2) . - _R. J. Mathar_, Apr 10 2017 %t A284985 nxt[{a_,b_}]:={b,576b-a}; NestList[nxt,{0,24},20][[;;,1]] (* or *) LinearRecurrence[{576,-1},{0,24},20] (* _Harvey P. Dale_, Jul 16 2024 *) %o A284985 (PARI) concat(0, Vec(24*x/(1-576*x+x^2) + O(x^20))) \\ _Colin Barker_, Apr 10 2017 %Y A284985 Cf. A052530. %K A284985 nonn,easy,less %O A284985 0,2 %A A284985 _Kyle Degen_, Apr 06 2017 %E A284985 a(8)-a(12) from _Giovanni Resta_, Apr 10 2017