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 A173155 #15 Aug 29 2022 04:41:54 %S A173155 1,48,1344,28672,516096,8257536,121110528,1660944384,21592276992, %T A173155 268703891456,3224446697472,37520834297856,425236122042368, %U A173155 4710307813392384,51140484831117312,545498504865251328,5727734301085138944,59298896293587320832,606166495445559279616 %N A173155 a(n) = binomial(n + 5, 5) * 8^n. %C A173155 With a different offset, number of n-permutations (n>=5) of 9 objects: p, r, s, t, u, v, z, x, y with repetition allowed, containing exactly five (5) u's. %H A173155 Vincenzo Librandi, <a href="/A173155/b173155.txt">Table of n, a(n) for n = 0..400</a> %H A173155 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (48,-960,10240,-61440,196608,-262144). %F A173155 a(n) = C(n + 5, 5)*8^n, n>=0. %F A173155 G.f.: 1/(1-8*x)^6. - _Vincenzo Librandi_, Oct 16 2011 %F A173155 From _Amiram Eldar_, Aug 29 2022: (Start) %F A173155 Sum_{n>=0} 1/a(n) = 96040*log(8/7) - 38470/3. %F A173155 Sum_{n>=0} (-1)^n/a(n) = 262440*log(9/8) - 30910. (End) %t A173155 Table[Binomial[n + 5, 5]*8^n, {n, 0, 20}] %o A173155 (Magma) [8^n* Binomial(n+5, 5): n in [0..20]]; // _Vincenzo Librandi_, Oct 16 2011 %Y A173155 Cf. A081138, A140802, A175210, A140406, A053107, A141054. %K A173155 nonn,easy %O A173155 0,2 %A A173155 _Zerinvary Lajos_, Feb 11 2010