login
a(n) = n^2*4^n/4.
2

%I #9 Oct 09 2022 16:37:58

%S 0,1,16,144,1024,6400,36864,200704,1048576,5308416,26214400,126877696,

%T 603979776,2835349504,13153337344,60397977600,274877906944,

%U 1241245548544,5566277615616,24807731101696,109951162777600,484884627849216,2128654511374336,9306266417496064,40532396646334464

%N a(n) = n^2*4^n/4.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (12,-48,64).

%F G.f.: x*(1 + 4*x)/(1 - 4*x)^3.

%F E.g.f.: exp(4*x)*x*(1 + 4*x). - _Stefano Spezia_, Oct 09 2022

%Y Binomial transform of A086951. Third binomial transform of decagonal numbers A001107.

%K easy,nonn

%O 0,3

%A _Paul Barry_, Jul 24 2003