login
a(n) = 11*2^n - 4*n - 10.
1

%I #12 Jul 24 2024 17:34:03

%S 1,8,26,66,150,322,670,1370,2774,5586,11214,22474,44998,90050,180158,

%T 360378,720822,1441714,2883502,5767082,11534246,23068578,46137246,

%U 92274586,184549270,369098642,738197390,1476394890,2952789894,5905579906,11811159934,23622319994,47244640118

%N a(n) = 11*2^n - 4*n - 10.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (4,-5,2).

%F G.f.: (-1 - 4 x + x^2)/((-1 + x)^2 (-1 + 2 x)). - _Harvey P. Dale_, Mar 12 2023

%F E.g.f.: exp(x)*(11*exp(x) - 4*x - 10). - _Stefano Spezia_, Jul 24 2024

%t Table[ 11 2^n-4n-10,{n,0,30}] (* _Harvey P. Dale_, Mar 12 2023 *)

%Y Row sums of A051668.

%K easy,nonn

%O 0,2

%A _Asher Auel_

%E a(29)-a(32) from _Stefano Spezia_, Jul 24 2024