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 A016792 #21 Jul 08 2025 05:54:09 %S A016792 16,625,4096,14641,38416,83521,160000,279841,456976,707281,1048576, %T A016792 1500625,2085136,2825761,3748096,4879681,6250000,7890481,9834496, %U A016792 12117361,14776336,17850625,21381376,25411681,29986576,35153041,40960000,47458321,54700816,62742241,71639296 %N A016792 a(n) = (3*n+2)^4. %H A016792 Vincenzo Librandi, <a href="/A016792/b016792.txt">Table of n, a(n) for n = 0..10000</a> %H A016792 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1). %F A016792 From _Ilya Gutkovskiy_, Jun 16 2016: (Start) %F A016792 G.f.: (16 + 545*x + 1131*x^2 + 251*x^3 + x^4)/(1 - x)^5. %F A016792 a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). (End) %F A016792 From _Amiram Eldar_, Mar 31 2022: (Start) %F A016792 a(n) = A016789(n)^4 = A016790(n)^2. %F A016792 Sum_{n>=0} 1/a(n) = PolyGamma(3, 2/3)/486. (End) %t A016792 Table[(3n+2)^4,{n,0,100}] (* _Mohammad K. Azarian_, Jun 15 2016 *) %t A016792 LinearRecurrence[{5,-10,10,-5,1},{16,625,4096,14641,38416},30] (* _Harvey P. Dale_, Aug 02 2018 *) %o A016792 (Magma) [(3*n+2)^4 : n in [0..30]]; // _Vincenzo Librandi_, Sep 29 2011 %Y A016792 Cf. A016789, A016790, A016791. %Y A016792 Subsequence of A000583. %K A016792 nonn,easy %O A016792 0,1 %A A016792 _N. J. A. Sloane_