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A291779 a(n) = 2^n - 2^floor(2n/3). 6

%I #13 Apr 02 2019 11:49:17

%S 0,1,2,4,12,24,48,112,224,448,960,1920,3840,7936,15872,31744,64512,

%T 129024,258048,520192,1040384,2080768,4177920,8355840,16711680,

%U 33488896,66977792,133955584,268173312,536346624,1072693248,2146435072,4292870144,8585740288,17175674880,34351349760,68702699520

%N a(n) = 2^n - 2^floor(2n/3).

%H Robert Israel, <a href="/A291779/b291779.txt">Table of n, a(n) for n = 0..3318</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (2,0,4,-8).

%F G.f.: x/((1-2*x)*(1-4*x^3)). - _Robert Israel_, Sep 01 2017

%p seq(2^n-2^floor(2*n/3),n=0..50); # _Robert Israel_, Sep 01 2017

%t LinearRecurrence[{2, 0, 4, -8}, {0, 1, 2, 4}, 37] (* _Jean-François Alcover_, Apr 02 2019 *)

%Y Cf. A004523, A291778.

%K nonn

%O 0,3

%A _Don Reble_ and _N. J. A. Sloane_, Sep 01 2017

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Last modified April 23 23:26 EDT 2024. Contains 371917 sequences. (Running on oeis4.)