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 A173187 #27 Aug 28 2022 08:30:52 %S A173187 1,36,810,14580,229635,3306744,44641044,573956280,7102708965, %T A173187 85232507580,997220338686,11422705697676,128505439098855, %U A173187 1423444863864240,15556218869373480,168007163789233584 %N A173187 a(n) = binomial(n + 3, 3)*9^n. %H A173187 Vincenzo Librandi, <a href="/A173187/b173187.txt">Table of n, a(n) for n = 0..400</a> %H A173187 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (36,-486,2916,-6561). %F A173187 From _Harvey P. Dale_, May 19 2011: (Start) %F A173187 a(n) = 36*a(n-1)-486*a(n-2)+ 2916*a(n-3)-6561*a(n-4). %F A173187 G.f.: 1/(1-9*x)^4. (End) %F A173187 From _Amiram Eldar_, Aug 28 2022: (Start) %F A173187 Sum_{n>=0} 1/a(n) = 1728*log(9/8) - 405/2. %F A173187 Sum_{n>=0} (-1)^n/a(n) = 2700*log(10/9) - 567/2. (End) %p A173187 A173187:=n->binomial(n+3,3)*9^n: seq(A173187(n), n=0..30); # _Wesley Ivan Hurt_, Jul 24 2017 %t A173187 Table[Binomial[n + 3, 3]*9^n, {n, 0, 20}] %t A173187 LinearRecurrence[{36,-486,2916,-6561},{1,36,810,14580},30] (* _Harvey P. Dale_, May 19 2011 *) %o A173187 (Magma) [Binomial(n+3, 3)*9^n: n in [0..20]]; // _Vincenzo Librandi_, Oct 13 2011 %o A173187 (PARI) a(n)=binomial(n+3,3)*9^n \\ _Charles R Greathouse IV_, Oct 07 2015 %Y A173187 Cf. A081139, A173000. %K A173187 nonn,easy %O A173187 0,2 %A A173187 _Zerinvary Lajos_, Feb 12 2010