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 A241029 #13 Sep 08 2022 08:46:07
%S A241029 4,36,610,11988,248914,5314716,115151530,2513845188,55090232674,
%T A241029 1209627165996,26585860217050,584603613083988,12858141059430034,
%U A241029 282844580595234876,6222201023261420170,136884245263581500388,3011407446068928780994
%N A241029 Sum of n-th powers of divisors of 22.
%H A241029 Vincenzo Librandi, <a href="/A241029/b241029.txt">Table of n, a(n) for n = 0..200</a>
%H A241029 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (36,-343,792,-484).
%F A241029 G.f.: 2*(2 - 54*x + 343*x^2 - 396*x^3)/((1 - x)*(1 - 2*x)*(1 - 11*x)*(1 - 22*x)). [_Bruno Berselli_, Apr 17 2014]
%F A241029 a(n) = (1 + 2^n)*(1 + 11^n). [_Bruno Berselli_, Apr 17 2014]
%t A241029 Total[#^Range[0, 20]&/@Divisors[22]]
%t A241029 Table[(1 + 2^n) (1 + 11^n), {n, 0, 20}] (* _Bruno Berselli_, Apr 17 2014 *)
%t A241029 LinearRecurrence[{36,-343,792,-484},{4,36,610,11988},30] (* _Harvey P. Dale_, May 21 2014 *)
%o A241029 (Magma) [DivisorSigma(n, 22): n in [0..20]];
%o A241029 (Maxima) makelist((1+2^n)*(1+11^n), n, 0, 20); /* _Bruno Berselli_, Apr 17 2014 */
%Y A241029 Cf. sum of n-th powers of divisors of even k: A000051 (k=2), A001576 (k=4), A034488 (k=6), A034496 (k=8), A034517 (k=10), A034660 (k=12), A141013 (k=14), A020514 (k=16), A034661 (k=18), A034662 (k=20), this sequence (k=22), A034664 (k=24), A241030 (k=26), A241031 (k=28), A241032 (k=30), A034665 (k=32), A034666 (k=36), A034667 (k=40), A034668 (k=48), A034669 (k=56), A020516 (k=64), A034671 (k=72), A034672 (k=96), A034673 (k=120), A034674 (k=128), A034675 (k=144).
%K A241029 nonn,easy
%O A241029 0,1
%A A241029 _Vincenzo Librandi_, Apr 17 2014