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.

A016831 a(n) = (4n+2)^7.

This page as a plain text file.
%I A016831 #11 Apr 21 2023 05:46:48
%S A016831 128,279936,10000000,105413504,612220032,2494357888,8031810176,
%T A016831 21870000000,52523350144,114415582592,230539333248,435817657216,
%U A016831 781250000000,1338925209984,2207984167552,3521614606208,5455160701056,8235430000000,12151280273024,17565568854912,24928547056768
%N A016831 a(n) = (4n+2)^7.
%H A016831 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).
%F A016831 From _Amiram Eldar_, Apr 21 2023: (Start)
%F A016831 a(n) = A016825(n)^7.
%F A016831 a(n) = 2^7*A016759(n).
%F A016831 Sum_{n>=0} 1/a(n) = 127*zeta(7)/16384.
%F A016831 Sum_{n>=0} (-1)^n/a(n) = 61*Pi^7/23592960. (End)
%t A016831 Table[(4*n + 2)^7, {n, 0, 20}] (* _Amiram Eldar_, Apr 21 2023 *)
%Y A016831 Cf. A013665, A016759, A016825.
%K A016831 nonn,easy
%O A016831 0,1
%A A016831 _N. J. A. Sloane_