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.

A160833 G.f.: (1+62*x+569*x^2+1086*x^3+521*x^4+56*x^5+x^6)/(1-x)^7.

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%I A160833 #11 Sep 08 2022 08:45:45
%S A160833 1,69,1031,6889,29473,95389,255263,595281,1251025,2423605,4398087,
%T A160833 7564217,12439441,19694221,30179647,44957345,65331681,92884261,
%U A160833 129510727,177459849,239374913,318337405,417912991,542199793,695878961
%N A160833 G.f.: (1+62*x+569*x^2+1086*x^3+521*x^4+56*x^5+x^6)/(1-x)^7.
%C A160833 Source: the De Loera et al. article and the Haws website listed in A160747.
%H A160833 Vincenzo Librandi, <a href="/A160833/b160833.txt">Table of n, a(n) for n = 0..10000</a>
%H A160833 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F A160833 a(n) = 1+n*(n+1)*(287*n^4+619*n^3+1021*n^2+689*n+444)/90. - _R. J. Mathar_, Sep 17 2011
%t A160833 Table[1+n*(n+1)*(287*n^4+619*n^3+1021*n^2+689*n+444)/90, {n,0,30}] (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1}, {1, 69, 1031, 6889, 29473, 95389, 255263}, 30] (* _G. C. Greubel_, Apr 28 2018 *)
%o A160833 (Magma) [1+n*(n+1)*(287*n^4+619*n^3+1021*n^2+689*n+444)/90: n in [0..30]]; // _Vincenzo Librandi_, Sep 18 2011
%o A160833 (PARI) for(n=0, 30, print1(1+n*(n+1)*(287*n^4+619*n^3+1021*n^2+689*n +444)/90, ", ")) \\ _G. C. Greubel_, Apr 28 2018
%K A160833 nonn
%O A160833 0,2
%A A160833 _N. J. A. Sloane_, Nov 18 2009