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 A016785 #27 Mar 29 2022 03:00:50 %S A016785 1,262144,40353607,1000000000,10604499373,68719476736,322687697779, %T A016785 1207269217792,3814697265625,10578455953408,26439622160671, %U A016785 60716992766464,129961739795077,262144000000000,502592611936843,922190162669056,1628413597910449,2779905883635712 %N A016785 a(n) = (3*n + 1)^9. %H A016785 Vincenzo Librandi, <a href="/A016785/b016785.txt">Table of n, a(n) for n = 0..10000</a> %H A016785 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10,-45,120,-210,252,-210,120,-45,10,-1). %F A016785 From _Amiram Eldar_, Mar 29 2022: (Start) %F A016785 a(n) = A016777(n)^9 = A016779(n)^3. %F A016785 Sum_{n>=0} 1/a(n) = 1618*Pi^9/(55801305*sqrt(3)) + 9841*zeta(9)/3^9. (End) %p A016785 A016785:=n->(3*n+1)^9; seq(A016785(k), k=0..100); # _Wesley Ivan Hurt_, Nov 05 2013 %t A016785 Table[(3*n+1)^9, {n,0,100}] (* _Wesley Ivan Hurt_, Nov 05 2013 *) %t A016785 LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{1,262144,40353607,1000000000,10604499373,68719476736,322687697779,1207269217792,3814697265625,10578455953408},100] (* _Harvey P. Dale_, Aug 17 2014 *) %o A016785 (Magma) [(3*n+1)^9 : n in [0..20]]; // _Vincenzo Librandi_, Sep 28 2011 %Y A016785 Cf. A016777, A016778, A016779, A016780, A016781, A016782, A016783, A016784. %K A016785 nonn,easy %O A016785 0,2 %A A016785 _N. J. A. Sloane_