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.

A160837 G.f.: (1+38*x+262*x^2+475*x^3+254*x^4+37*x^5+x^6)/(1-x)^7.

This page as a plain text file.
%I A160837 #12 Sep 08 2022 08:45:45
%S A160837 1,45,556,3457,14317,45565,120772,280001,586225,1132813,2052084,
%T A160837 3524929,5791501,9162973,14034364,20898433,30360641,43155181,60162076,
%U A160837 82425345,111172237,147833533,194064916,251769409,323120881,410588621,516962980
%N A160837 G.f.: (1+38*x+262*x^2+475*x^3+254*x^4+37*x^5+x^6)/(1-x)^7.
%C A160837 Source: the De Loera et al. article and the Haws website listed in A160747.
%H A160837 Vincenzo Librandi, <a href="/A160837/b160837.txt">Table of n, a(n) for n = 0..10000</a>
%H A160837 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F A160837 From _R. J. Mathar_, Dec 16 2009: (Start)
%F A160837 a(n) = 1+24/5*n+38/3*n^3+207/20*n^2+61/6*n^4+68/15*n^5+89/60*n^6.
%F A160837 a(n) = 1+ n*(n+1)*(89*n^4+183*n^3+427*n^2+333*n+288)/60. (End)
%t A160837 CoefficientList[Series[(1+38x+262x^2+475x^3+254x^4+37x^5+x^6)/(1-x)^7, {x,0,40}], x] (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1},{1, 45, 556,3457,14317,45565,120772}, 40] (* _Harvey P. Dale_, Nov 27 2016 *)
%o A160837 (Magma) [1+ n*(n+1)*(89*n^4+183*n^3+427*n^2+333*n+288)/60: n in [0..30]]; // _Vincenzo Librandi_, Sep 19 2011
%o A160837 (PARI) x='x+O('x^30); Vec((1+38*x+262*x^2+475*x^3+254*x^4+37*x^5+x^6)/(1-x)^7) \\ _G. C. Greubel_, Apr 28 2018
%K A160837 nonn,easy
%O A160837 0,2
%A A160837 _N. J. A. Sloane_, Nov 18 2009