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 A170932 #13 Aug 29 2022 04:41:06 %S A170932 1,63,2205,56595,1188495,21630609,353299947,5299499205,74192988870, %T A170932 980996186170,12360551945742,149450309889426,1743586948709970, %U A170932 19715944727720430,216875392004924730,2327795874186192102,24441856678955017071,251607348165713411025 %N A170932 a(n) = binomial(n + 8, 8)*7^n . %C A170932 With a different offset, number of n-permutations of 8 objects: r, s, t, u, v, z, x, y with repetition allowed, containing exactly eight, (8) u's. %H A170932 Vincenzo Librandi, <a href="/A170932/b170932.txt">Table of n, a(n) for n = 0..300</a> %H A170932 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (63,-1764,28812,-302526,2117682,-9882516,29647548,-51883209,40353607). %F A170932 a(n) = C(n + 8, 8)*7^n. %F A170932 From _Amiram Eldar_, Aug 29 2022: (Start) %F A170932 Sum_{n>=0} 1/a(n) = 12082656/5 - 15676416*log(7/6). %F A170932 Sum_{n>=0} (-1)^n/a(n) = 117440512*log(8/7) - 235229912/15. (End) %t A170932 Table[Binomial[n + 8, 8]*7^n, {n, 0, 20}] %o A170932 (Magma) [Binomial(n + 8, 8)*7^n: n in [0..20]]; // _Vincenzo Librandi_, Oct 12 2011 %Y A170932 Cf. A027474, A140107, A139641, A140404, A036226, A050989. %K A170932 nonn,easy %O A170932 0,2 %A A170932 _Zerinvary Lajos_, Feb 08 2010