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 A016949 #18 Mar 30 2022 06:34:23 %S A016949 243,59049,759375,4084101,14348907,39135393,90224199,184528125, %T A016949 345025251,601692057,992436543,1564031349,2373046875,3486784401, %U A016949 4984209207,6956883693,9509900499,12762815625,16850581551,21924480357,28153056843,35723051649,44840334375,55730836701 %N A016949 a(n) = (6*n + 3)^5. %H A016949 Vincenzo Librandi, <a href="/A016949/b016949.txt">Table of n, a(n) for n = 0..2000</a> %H A016949 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1). %F A016949 From _Amiram Eldar_, Mar 30 2022: (Start) %F A016949 a(n) = A016945(n)^5. %F A016949 a(n) = 3^5*A016757(n). %F A016949 Sum_{n>=0} 1/a(n) = 31*zeta(5)/7776. %F A016949 Sum_{n>=0} (-1)^n/a(n) = 5*Pi^5/373248. (End) %t A016949 a[n_] := (6*n + 3)^5; Array[a, 50, 0] (* _Amiram Eldar_, Mar 30 2022 *) %o A016949 (Magma) [(6*n+3)^5: n in [0..50]]; // _Vincenzo Librandi_, May 05 2011 %Y A016949 Cf. A016757, A016945, A016946, A016947, A016948. %Y A016949 Subsequence of A000584. %K A016949 nonn,easy %O A016949 0,1 %A A016949 _N. J. A. Sloane_