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Positions of the terms of A090845^3 in A090845, where A090845 is equal to the union of the self-convolutions A090845^2 and A090845^3, in ascending order by size, starting with A090845(0)=1.
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%I #9 Feb 06 2013 22:25:42

%S 1,3,5,8,10,12,15,17,19,22,24,27,29,31,34,36,38,41,43,45,48,50,53,55,

%T 57,60,62,64,67,69,72,74,76,79,81,83,86,88,90,93,95,98,100,102,105,

%U 107,109,112,114,117,119,121,124,126,128,131,133,135,138,140,143,145,147,150

%N Positions of the terms of A090845^3 in A090845, where A090845 is equal to the union of the self-convolutions A090845^2 and A090845^3, in ascending order by size, starting with A090845(0)=1.

%C What is the value of limit a(n)/n ? Example: a(12000)/12000 = 2.3758333...

%H Paul D. Hanna, <a href="/A090846/b090846.txt">Table of n, a(n) for n = 0..12000</a>

%F A090845(a(n)) = A222083(n) for n>=0, where A222083 is the self-convolution cube of A090845.

%e a(4)=10 since A090845^3(4)=A090845(10)=51, where

%e A090845={1,1,2,3,5,9,10,20,22,40,51,...} and

%e A090845^3={1,3,9,22,51,114,230,468,885,1674,3045,5418,...}.

%Y Cf. A090845, A222082, A222083.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Dec 09 2003