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a(2n) = a(n) + 2^(2n), a(2n+1) = 2^(2n+1).
0

%I #4 Mar 30 2012 18:41:21

%S 0,2,6,8,22,32,72,128,278,512,1056,2048,4168,8192,16512,32768,65814,

%T 131072,262656,524288,1049632,2097152,4196352,8388608,16781384,

%U 33554432,67117056,134217728,268451968,536870912,1073774592

%N a(2n) = a(n) + 2^(2n), a(2n+1) = 2^(2n+1).

%F a(n) = sum{0<=k<=A007814(n), 2^(n/2^k) }.

%F G.f.: sum{k>=0, 1/(1-2*x^2^k) }.

%Y Cf. A045654.

%K nonn,easy

%O 0,2

%A _Ralf Stephan_, May 28 2007