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 A172362 #21 Aug 28 2022 04:22:27 %S A172362 1,33,594,7722,81081,729729,5837832,42532776,287096238,1818276174, %T A172362 10909657044,62482581252,343654196886,1824010737318,9380626649064, %U A172362 46903133245320,228652774570935,1089463220014455,5084161693400790 %N A172362 a(n) = binomial(n+10, 10)*3^n. %C A172362 With a different offset, number of n-permutations (n>=10) of 4 objects: u, v, z, x with repetition allowed, containing exactly ten, (10) u's. %H A172362 Vincenzo Librandi, <a href="/A172362/b172362.txt">Table of n, a(n) for n = 0..400</a> %H A172362 <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (33,-495,4455,-26730,112266,-336798,721710,-1082565,1082565,-649539,177147). %F A172362 G.f.: 1/(1-3*x)^11. - _Vincenzo Librandi_, Oct 15 2011 %F A172362 From _Amiram Eldar_, Aug 28 2022: (Start) %F A172362 Sum_{n>=0} 1/a(n) = 261617/42 - 15360*log(3/2). %F A172362 Sum_{n>=0} (-1)^n/a(n) = 7864320*log(4/3) - 47510881/21. (End) %p A172362 seq(binomial(n+10, 10)*3^n, n=0..30); %t A172362 Table[Binomial[n + 10, 10]*3^n, {n, 0, 20}] %o A172362 (Magma) [3^n*Binomial(n+10, 10): n in [0..30]]; // _Vincenzo Librandi_, Oct 15 2011 %Y A172362 Cf. A027472, A036216, A036217, A036219, A036220, A036221, A036222, A036223. %K A172362 nonn,easy %O A172362 0,2 %A A172362 _Zerinvary Lajos_, Feb 01 2010