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 A136038 #36 Sep 08 2022 08:45:32 %S A136038 0,0,48,648,3840,15000,45360,115248,258048,524880,990000,1756920, %T A136038 2965248,4798248,7491120,11340000,16711680,24054048,33907248,46915560, %U A136038 63840000,85571640,113145648,147756048,190771200,243750000,308458800,386889048,481275648 %N A136038 a(n) = n^6 - n^4. %H A136038 Vincenzo Librandi, <a href="/A136038/b136038.txt">Table of n, a(n) for n = 0..10000</a> %H A136038 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1). %F A136038 From _R. J. Mathar_, Feb 06 2010: (Start) %F A136038 a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7). %F A136038 G.f.: 24*x^2*(1+x)*(2*x^2+11*x+2)/(1-x)^7. (End) %F A136038 From _Amiram Eldar_, Jan 12 2021: (Start) %F A136038 Sum_{n>=2} 1/a(n) = 11/4 - Pi^2/6 - Pi^4/90 = 11/4 - A013661 - A013662. %F A136038 Sum_{n>=2} (-1)^n/a(n) = 7*Pi^4/720 + Pi^2/12 - 7/4 = A267315 + A072691 - 7/4. (End) %p A136038 map(n -> n^6 - n^4, [$0..100]); # _Robert Israel_, Aug 28 2018 %t A136038 a[n_]:=n^6-n^4; a[Range[0,60]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 10 2011 *) %t A136038 LinearRecurrence[{7,-21,35,-35,21,-7,1},{0,0,48,648,3840,15000,45360},30] (* _Harvey P. Dale_, May 17 2018 *) %o A136038 (Magma) [n^6-n^4: n in [0..30]]; // _Vincenzo Librandi_, Feb 20 2012 %Y A136038 Cf. A013661, A013662, A072691, A267315. %K A136038 nonn,easy %O A136038 0,3 %A A136038 _Rolf Pleisch_, Mar 16 2008