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A175166 a(n) = 64*(2^n - 1).

%I A175166 #24 Jun 27 2023 17:17:34
%S A175166 0,64,192,448,960,1984,4032,8128,16320,32704,65472,131008,262080,
%T A175166 524224,1048512,2097088,4194240,8388544,16777152,33554368,67108800,
%U A175166 134217664,268435392,536870848,1073741760
%N A175166 a(n) = 64*(2^n - 1).
%H A175166 G. C. Greubel, <a href="/A175166/b175166.txt">Table of n, a(n) for n = 0..1000</a>
%H A175166 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3,-2).
%F A175166 a(n) = 2^(n+6) - 64.
%F A175166 a(n) = A173787(n+6, 6).
%F A175166 a(2*n) = A175161(n)*A159741(n) for n > 0.
%F A175166 a(n) = 3*a(n-1) - 2*a(n-2), a(0)=0, a(1)=64. - _Vincenzo Librandi_, Dec 28 2010
%F A175166 From _G. C. Greubel_, Jul 08 2021: (Start)
%F A175166 G.f.: 64*x/((1-x)*(1-2*x)).
%F A175166 E.g.f.: 64*(exp(2*x) - exp(x)). (End)
%t A175166 LinearRecurrence[{3,-2},{0,64},30] (* _Harvey P. Dale_, Apr 08 2015 *)
%o A175166 (Magma) I:=[0,64]; [n le 2 select I[n] else 3*Self(n-1) - 2*Self(n-2): n in [1..41]]; // _G. C. Greubel_, Jul 08 2021
%o A175166 (Sage) [64*(2^n -1) for n in (0..40)] # _G. C. Greubel_, Jul 08 2021
%o A175166 (Python)
%o A175166 def A175166(n): return (1<<n)-1<<6 # _Chai Wah Wu_, Jun 27 2023
%Y A175166 Sequences of the form m*(2^n - 1): A000225 (m=1), A000918 (m=2), A068156 (m=3), A028399 (m=4), A068293 (m=6), A159741 (m=8), A175164 (m=16), A175165 (m=32), this sequence (m=64).
%Y A175166 Cf. A173787, A175161.
%K A175166 nonn
%O A175166 0,2
%A A175166 _Reinhard Zumkeller_, Feb 28 2010