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.

A088943 a(n)=60*sum(1<=i<=j<=k<=n,i*j^2/k).

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%I A088943 #14 Apr 25 2018 17:32:34
%S A088943 0,60,450,1790,5195,12419,25999,49399,87154,145014,230088,350988,
%T A088943 517973,743093,1040333,1425757,1917652,2536672,3305982,4251402,
%U A088943 5401551,6787991,8445371,10411571,12727846,15438970,18593380,22243320,26444985,31258665
%N A088943 a(n)=60*sum(1<=i<=j<=k<=n,i*j^2/k).
%C A088943 Always an integer. Can be expressed as a polynomial with rational coefficients of degree 5.
%H A088943 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F A088943 G.f.: -x*(x^4-5*x^3+10*x^2-90*x-60) / (x-1)^6. - _Colin Barker_, Jun 15 2013
%t A088943 LinearRecurrence[{6,-15,20,-15,6,-1},{0,60,450,1790,5195,12419},30] (* _Harvey P. Dale_, Apr 25 2018 *)
%o A088943 (PARI) a(n)=60*sum(k=1,n,sum(j=1,k,sum(i=1,j,i*j^2/k)))
%Y A088943 Cf. A088941, A088942.
%K A088943 nonn,easy
%O A088943 0,2
%A A088943 _Benoit Cloitre_, Oct 25 2003