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.

A056829 Nearest integer to n^2/6.

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%I A056829 #10 Oct 11 2020 13:21:28
%S A056829 0,0,1,2,3,4,6,8,11,14,17,20,24,28,33,38,43,48,54,60,67,74,81,88,96,
%T A056829 104,113,122,131,140,150,160,171,182,193,204,216,228,241,254,267,280,
%U A056829 294,308,323,338,353,368,384,400,417,434,451,468,486,504
%N A056829 Nearest integer to n^2/6.
%H A056829 Harvey P. Dale, <a href="/A056829/b056829.txt">Table of n, a(n) for n = 0..1000</a>
%H A056829 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1,0,0,0,1,-2,1).
%F A056829 G.f.: -x^2*(1+x^4) / ( (1+x)*(1+x+x^2)*(x^2-x+1)*(x-1)^3 ). - _R. J. Mathar_, Jul 10 2015
%F A056829 a(n) = A056827(n)+A088911(n+3). - _R. J. Mathar_, Jul 10 2015
%t A056829 Round[Range[0,60]^2/6] (* or *) LinearRecurrence[{2,-1,0,0,0,1,-2,1},{0,0,1,2,3,4,6,8},60] (* _Harvey P. Dale_, Oct 11 2020 *)
%K A056829 nonn,easy
%O A056829 0,4
%A A056829 _N. J. A. Sloane_, Sep 02 2000