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 A197904 #19 Sep 08 2022 08:45:59 %S A197904 32,98,412,1387,3803,8918,18594,35410,62786,105102,167817,257593, %T A197904 382409,551685,776401,1069217,1444593,1918909,2510585,3240201,4130617, %U A197904 5207093,6497409,8031985,9844001,11969517,14447593,17320409,20633385,24435301,28778417,33718593 %N A197904 a(n) = ceiling((n+1/n)^5). %H A197904 Vincenzo Librandi, <a href="/A197904/b197904.txt">Table of n, a(n) for n = 1..10000</a> %H A197904 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1). %F A197904 a(n) = n^5 + 5n^3 + 10n for n > 10. [_Charles R Greathouse IV_, Nov 21 2011] %F A197904 G.f.: (167817 - 749309 x + 1354106 x^2 - 1235214 x^3 + 567821 x^4 - %F A197904 105101 x^5)/(-1 + x)^6 - _Harvey P. Dale_, Jul 10 2021 %p A197904 A197904:=n->ceil((n+1/n)^5): seq(A197904(n), n=1..40); # _Wesley Ivan Hurt_, Apr 23 2017 %t A197904 Table[Ceiling[(n+1/n)^5],{n,50}] (* or *) LinearRecurrence[{6,-15,20,-15,6,-1},{32,98,412,1387,3803,8918,18594,35410,62786,105102,167817,257593,382409,551685,776401,1069217},40] (* _Harvey P. Dale_, Jul 10 2021 *) %o A197904 (Magma) [Ceiling((n+1/n)^5): n in [1..50]] %o A197904 (PARI) a(n)=ceil((n+1/n)^5) \\ _Charles R Greathouse IV_, Nov 21 2011 %Y A197904 Cf. A014058. %K A197904 nonn,easy %O A197904 1,1 %A A197904 _Vincenzo Librandi_, Oct 19 2011