cp's OEIS Frontend

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.

A197605 Floor( ( n + 1/n )^6 ).

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%I A197605 #21 Sep 08 2022 08:45:59
%S A197605 64,244,1371,5892,19770,54992,132810,287700,572042,1061520,1861242,
%T A197605 3112580,5000730,7762992,11697770,17174292,24643050,34646960,47833242,
%U A197605 64966020,86939642,114792720,149722890,193102292,246493770,311667792,390620090,485590020
%N A197605 Floor( ( n + 1/n )^6 ).
%H A197605 Vincenzo Librandi, <a href="/A197605/b197605.txt">Table of n, a(n) for n = 1..10000</a>
%H A197605 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F A197605 For n > 3, a(n) = n^6 + 6n^4 + 15n^2 + 20. [_Charles R Greathouse IV_, Dec 27 2011]
%F A197605 G.f.: x*(64-204*x+1007*x^2-821*x^3+1017*x^4-455*x^5+125*x^6-15*x^7+3*x^8-x^9)/(1-x)^7. - _Vincenzo Librandi_, Dec 18 2014
%t A197605 Table[Floor[(n + 1/n)^6], {n, 40}] (* _T. D. Noe_, Dec 27 2011 *)
%t A197605 CoefficientList[Series[(64 - 204 x + 1007 x^2 - 821 x^3 + 1017 x^4 - 455 x^5 + 125 x^6 - 15 x^7 + 3 x^8 - x^9) / (1 - x)^7, {x, 0, 40}], x] (* _Vincenzo Librandi_, Dec 18 2014 *)
%o A197605 (Magma) [Floor((n+1/n)^6): n in [1..40]]
%o A197605 (PARI) a(n)=if(n>3,n^6+6*n^4+15*n^2+20,[64,244,1371][n]) \\ _Charles R Greathouse IV_, Dec 27 2011
%Y A197605 Cf. A014052, A197602, A197603, A197604.
%K A197605 nonn,easy
%O A197605 1,1
%A A197605 _Vincenzo Librandi_, Oct 18 2011