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 A241031 #21 Dec 14 2024 18:33:28 %S A241031 6,56,1050,25112,655746,17766056,489541650,13599182072,379283617986, %T A241031 10599157616456,296486304875250,8297561014164632,232274972859656226, %U A241031 6502905234227329256,182070232515259616850,5097810928082584052792 %N A241031 Sum of n-th powers of divisors of 28. %H A241031 Vincenzo Librandi, <a href="/A241031/b241031.txt">Table of n, a(n) for n = 0..200</a> %H A241031 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (56,-1043,8240,-29204,43904,-21952). %F A241031 G.f.: 2*(3 - 140*x + 2086*x^2 - 12360*x^3 + 29204*x^4 - 21952*x^5)/((1 - x)*(1 - 2*x)*(1 - 4*x)*(1 - 7*x)*(1 - 14*x)*(1 - 28*x)). %F A241031 a(n) = (4^n + 2^n + 1)*(7^n + 1). %t A241031 Total[#^Range[0, 20] & /@ Divisors[28]] (* or *) Table[(4^n + 2^n + 1) (7^n + 1), {n, 0, 20}] %o A241031 (Magma) [DivisorSigma(n, 28): n in [0..20]]; %o A241031 (Magma) [(4^n+2^n+1)*(7^n+1): n in [0..20]]; %Y A241031 Cf. A018254 (divisors of 28). %Y A241031 Cf. similar sequence listed in A241029. %K A241031 nonn,easy %O A241031 0,1 %A A241031 _Vincenzo Librandi_, Apr 17 2014