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.

A229735 151*n^7/315+2*n^5/9+7*n^3/45+n/7.

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%I A229735 #19 Sep 08 2022 08:46:06
%S A229735 0,1,70,1107,8092,38165,135954,398567,1012664,2306025,4816030,9377467,
%T A229735 17232084,30162301,50651498,82073295,128912240,197018321,293897718,
%U A229735 429042211,614299660,864287973,1196854978,1633586615,2200365864,2927984825,3852812366,5017519755,6471866692,8273550157,10489118490
%N A229735 151*n^7/315+2*n^5/9+7*n^3/45+n/7.
%H A229735 Vincenzo Librandi, <a href="/A229735/b229735.txt">Table of n, a(n) for n = 0..1000</a>
%H A229735 M. B. Nathanson, <a href="http://arxiv.org/abs/1305.7172">Growth polynomials for additive quadruples and (h, k)-tuples</a>, arXiv preprint arXiv:1305.7172, 2013. See Psi_4(n).
%H A229735 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).
%F A229735 G.f.: x*(x^6+62*x^5+575*x^4+1140*x^3+575*x^2+62*x+1) / (x-1)^8. - _Colin Barker_, Oct 06 2013
%t A229735 Table[151 n^7/315 + 2 n^5/9 + 7 n^3/45 + n/7, {n, 0, 40}] (* _Vincenzo Librandi_, Oct 06 2013 *)
%o A229735 (Magma) [151*n^7/315+2*n^5/9+7*n^3/45+n/7: n in [0..30]]; // _Vincenzo Librandi_, Oct 06 2013
%Y A229735 Cf. A071816.
%K A229735 nonn,easy
%O A229735 0,3
%A A229735 _N. J. A. Sloane_, Oct 01 2013