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 A016929 #19 Mar 28 2022 07:40:48 %S A016929 1,40353607,10604499373,322687697779,3814697265625,26439622160671, %T A016929 129961739795077,502592611936843,1628413597910449,4605366583984375, %U A016929 11694146092834141,27206534396294947,58871586708267913,119851595982618319,231616946283203125,427929800129788411 %N A016929 a(n) = (6*n + 1)^9. %H A016929 Vincenzo Librandi, <a href="/A016929/b016929.txt">Table of n, a(n) for n = 0..2000</a> %H A016929 <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 A016929 a(n) = 10*a(n-1) - 45*a(n-2) + 120*a(n-3) - 210*a(n-4) + 252*a(n-5) - 210*a(n-6) + 120*a(n-7) - 45*a(n-8) + 10*a(n-9) - a(n-10). - _Harvey P. Dale_, Mar 22 2015 %F A016929 From _Amiram Eldar_, Mar 28 2022: (Start) %F A016929 a(n) = A016921(n)^9 = A016923(n)^3. %F A016929 Sum_{n>=0} 1/a(n) = 15371*Pi^9/(529079040*sqrt(3)) + 5028751*zeta(9)/10077696. (End) %t A016929 (6*Range[0,20]+1)^9 (* or *) LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{1,40353607,10604499373,322687697779,3814697265625,26439622160671,129961739795077,502592611936843,1628413597910449,4605366583984375},20] (* _Harvey P. Dale_, Mar 22 2015 *) %o A016929 (Magma) [(6*n+1)^9: n in [0..25]]; // _Vincenzo Librandi_, May 04 2011 %Y A016929 Cf. A016921, A016922, A016923, A016924, A016925, A016926, A016927, A016928. %K A016929 nonn,easy %O A016929 0,2 %A A016929 _N. J. A. Sloane_