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 A134007 #21 Sep 08 2022 08:45:32 %S A134007 5,25,165,1225,9669,79225,665445,5686825,49208709,429746905, %T A134007 3779084325,33407391625,296515495749,2639977136185,23561123826405, %U A134007 210669225531625,1886405750358789,16910575282247065,151726863979595685 %N A134007 a(n) = 1^n + 3^n + 5^n + 7^n + 9^n. %H A134007 Vincenzo Librandi, <a href="/A134007/b134007.txt">Table of n, a(n) for n = 0..300</a> %H A134007 T. A. Gulliver, <a href="http://www.m-hikari.com/imf-2010/61-64-2010/index.html">Divisibility of sums of powers of odd integers</a>, Int. Math. For. 5 (2010) 3059-3066, eq. 6. %H A134007 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (25, -230, 950, -1689, 945). %F A134007 a(n) = 24*a(n-1) - 206*a(n-2) + 744*a(n-3) - 945*a(n-4) + 384. %F A134007 G.f.: -(5 - 100*x + 690*x^2 - 1900*x^3 + 1689*x^4)/((-1+x)*(3*x-1)*(9*x-1)*(7*x-1)*(5*x-1)). - _R. J. Mathar_, Nov 14 2007 %F A134007 a(n) = A134006(n) + A001019(n). - _Michel Marcus_, Nov 07 2013 %e A134007 a(3)=165 because 1^2 + 3^2 + 5^2 + 7^2 + 9^2 = 165. %t A134007 Table[1^n+3^n+5^n+7^n+9^n,{n,0,30}] %o A134007 (Magma) [1^n + 3^n + 5^n + 7^n + 9^n: n in [0..20]]; // _Vincenzo Librandi_, Jun 20 2011 %Y A134007 Cf. A034472, A074507, A134006. %K A134007 nonn,easy %O A134007 0,1 %A A134007 _Artur Jasinski_, Oct 01 2007