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%I #4 Jun 29 2023 12:56:38
%S 6,16,32,64,128,256,512,1024,2048,4096,8192,16384,32768,65536,131072,
%T 262144,524288,1048576,2097152,4194304,8388608,16777216,33554432,
%U 67108864,134217728,268435456,536870912,1073741824,2147483648
%N a(n) = 2*a(n-1) for n > 1; a(0) = 6, a(1) = 16.
%C 16*A000079 preceded by 6.
%C Binomial transform of A010726.
%C Inverse binomial transform of A171495.
%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (2).
%F a(n) = 2^(n+3) for n > 0; a(0) = 6.
%F G.f.: 2*(3+2*x)/(1-2*x).
%o (PARI) {m=29; v=concat([6, 16], vector(m-2)); for(n=3, m, v[n]=2*v[n-1]); v}
%Y Equals 2*A171497.
%Y Cf. A000079 (powers of 2), A010726 (repeat 6, 10), A171495.
%K nonn
%O 0,1
%A _Klaus Brockhaus_, Dec 10 2009
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