cp's OEIS Frontend

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.

A016949 a(n) = (6*n + 3)^5.

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%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_