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A175164 a(n) = 16*(2^n - 1).

%I A175164 #20 Jun 27 2023 17:18:12
%S A175164 0,16,48,112,240,496,1008,2032,4080,8176,16368,32752,65520,131056,
%T A175164 262128,524272,1048560,2097136,4194288,8388592,16777200,33554416,
%U A175164 67108848,134217712,268435440
%N A175164 a(n) = 16*(2^n - 1).
%H A175164 G. C. Greubel, <a href="/A175164/b175164.txt">Table of n, a(n) for n = 0..1000</a>
%H A175164 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3,-2).
%F A175164 a(n) = 2^(n+4) - 16.
%F A175164 a(n) = A173787(n+4, 4).
%F A175164 a(2*n) = A140504(n+2)*A028399(n).
%F A175164 a(n) = 3*a(n-1) - 2*a(n-2), a(0)=0, a(1)=16. - _Vincenzo Librandi_, Dec 28 2010
%F A175164 From _G. C. Greubel_, Jul 08 2021: (Start)
%F A175164 G.f.: 16*x/((1-x)*(1-2*x)).
%F A175164 E.g.f.: 16*(exp(2*x) - exp(x)). (End)
%t A175164 16*(2^Range[0,40] - 1) (* _G. C. Greubel_, Jul 08 2021 *)
%o A175164 (Magma) I:=[0,16]; [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 A175164 (Sage) [16*(2^n -1) for n in (0..40)] # _G. C. Greubel_, Jul 08 2021
%o A175164 (Python)
%o A175164 def A175164(n): return (1<<n)-1<<4 # _Chai Wah Wu_, Jun 27 2023
%Y A175164 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), this sequence (m=16), A175165 (m=32), A175166 (m=64).
%Y A175164 Cf. A140504, A173787.
%K A175164 nonn
%O A175164 0,2
%A A175164 _Reinhard Zumkeller_, Feb 28 2010