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 A173113 #16 Sep 01 2022 07:14:24
%S A173113 1,55,1650,35750,625625,9384375,125125000,1519375000,17092968750,
%T A173113 180425781250,1804257812500,17222460937500,157872558593750,
%U A173113 1396564941406250,11970556640625000,99754638671875000
%N A173113 a(n) = binomial(n + 10, 10) * 5^n.
%C A173113 With a different offset, number of n-permutations (n>=10) of 6 objects: t, u, v, z, x, y with repetition allowed, containing exactly ten (10) u's.
%H A173113 Vincenzo Librandi, <a href="/A173113/b173113.txt">Table of n, a(n) for n = 0..400</a>
%H A173113 <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (55,-1375,20625,-206250,1443750,-7218750,25781250,-64453125,107421875,-107421875,48828125).
%F A173113 a(n) = C(n + 10, 10)*5^n, n>=0.
%F A173113 G.f.: 1/(1-5*x)^11. - _Vincenzo Librandi_, Oct 15 2011
%F A173113 From _Amiram Eldar_, Sep 01 2022: (Start)
%F A173113 Sum_{n>=0} 1/a(n) = 184261655/63 - 13107200*log(5/4).
%F A173113 Sum_{n>=0} (-1)^n/a(n) = 503884800*log(6/5) - 11575501585/126. (End)
%t A173113 Table[Binomial[n + 10, 10]*5^n, {n, 0, 20}]
%o A173113 (Magma) [5^n*Binomial(n+10, 10): n in [0..30]]; // _Vincenzo Librandi_, Oct 15 2011
%Y A173113 Cf. A053464, A084902, A081143, A036071, A050982, A140405, A140220, A140346, A140520.
%K A173113 nonn,easy
%O A173113 0,2
%A A173113 _Zerinvary Lajos_, Feb 10 2010