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A131475 a(n) = floor(n/2) * floor(n^2/2). 1

%I #15 Sep 08 2022 08:45:31

%S 0,0,2,4,16,24,54,72,128,160,250,300,432,504,686,784,1024,1152,1458,

%T 1620,2000,2200,2662,2904,3456,3744,4394,4732,5488,5880,6750,7200,

%U 8192,8704,9826,10404,11664,12312,13718,14440,16000,16800

%N a(n) = floor(n/2) * floor(n^2/2).

%H Vincenzo Librandi, <a href="/A131475/b131475.txt">Table of n, a(n) for n = 0..1000</a>

%F G.f.: 2*x^2*(1 + x + 3*x^2 + x^3)/((1+x)^3*(1-x)^4). - _R. J. Mathar_, Dec 19 2008

%F a(n) = a(n-1) + 3*a(n-2) - 3*a(n-3) - 3*a(n-4) + 3*a(n-5) + a(n-6) - a(n-7).

%F a(n) = A004526(n)*A007590(n). - _R. J. Mathar_, Mar 04 2018

%o (Magma) [Floor(n/2)*Floor(n^2/2): n in [0..60]]; // _Vincenzo Librandi_, Jun 16 2011

%Y Cf. A000982, A008619, A004526, A007590.

%K nonn,easy

%O 0,3

%A _Mohammad K. Azarian_, Jul 27 2007

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Last modified April 24 12:48 EDT 2024. Contains 371942 sequences. (Running on oeis4.)