%I #25 Oct 27 2023 22:00:45

%S 0,3,10,24,52,108,220,444,892,1788,3580,7164,14332,28668,57340,114684,

%T 229372,458748,917500,1835004,3670012,7340028,14680060,29360124,

%U 58720252,117440508,234881020,469762044,939524092,1879048188

%N Row sums of A053207.

%H G. C. Greubel, <a href="/A053208/b053208.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (3,-2).

%F a(0) = 0, a(1) = 3, a(n+1) = 2*a(n) + 4, for n >= 1.

%F a(n) = 7*2^(n-1) - 4, n >= 1.

%F G.f.: x*(x + 3)/((x - 1)*(2*x - 1)). - _Chai Wah Wu_, Jul 24 2020

%t Join[{0},NestList[2#+4&,3,30]] (* _Harvey P. Dale_, Nov 08 2013 *)

%t Join[{0}, Table[7*2^(n-1) -4, {n,50}]] (* _G. C. Greubel_, Sep 03 2018 *)

%o (PARI) concat([0], vector(50, n, 7*2^(n-1) -4)) \\ _G. C. Greubel_, Sep 03 2018

%o (Magma) [0] cat [7*2^(n-1) -4: n in [1..50]]; // _G. C. Greubel_, Sep 03 2018

%Y Cf. A053207, A053209.

%K nonn,easy

%O 0,2

%A _Asher Auel_, Dec 13 1999