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.

A054605 a(n) = Sum_{d|6} phi(d)*n^(6/d).

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%I A054605 #24 Mar 11 2023 08:38:44
%S A054605 0,6,84,780,4200,15810,46956,118104,262800,532350,1001220,1773156,
%T A054605 2988024,4829370,7532700,11394480,16781856,24143094,34018740,47053500,
%U A054605 64008840,85776306,113391564,148049160,191118000,244157550,308934756
%N A054605 a(n) = Sum_{d|6} phi(d)*n^(6/d).
%H A054605 Seiichi Manyama, <a href="/A054605/b054605.txt">Table of n, a(n) for n = 0..10000</a>
%H A054605 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F A054605 a(n) = n^6 + n^3 + 2n^2 + 2n. - _Ralf Stephan_, Sep 03 2003
%F A054605 G.f.: -6*x*(10*x^4+49*x^3+53*x^2+7*x+1) / (x-1)^7. - _Colin Barker_, Dec 21 2012
%t A054605 Table[n^6+n^3+2n^2+2n,{n,0,30}] (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1},{0,6,84,780,4200,15810,46956},30] (* _Harvey P. Dale_, Mar 11 2023 *)
%Y A054605 Row n=6 of A185651.
%K A054605 nonn,easy
%O A054605 0,2
%A A054605 _N. J. A. Sloane_, Apr 16 2000