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A056829 Nearest integer to n^2/6. 3

%I #10 Oct 11 2020 13:21:28

%S 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 104,113,122,131,140,150,160,171,182,193,204,216,228,241,254,267,280,

%U 294,308,323,338,353,368,384,400,417,434,451,468,486,504

%N Nearest integer to n^2/6.

%H Harvey P. Dale, <a href="/A056829/b056829.txt">Table of n, a(n) for n = 0..1000</a>

%H <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 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 a(n) = A056827(n)+A088911(n+3). - _R. J. Mathar_, Jul 10 2015

%t 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 nonn,easy

%O 0,4

%A _N. J. A. Sloane_, Sep 02 2000

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)