A090847 - OEIS

%I #4 Mar 30 2012 18:36:39

%S 1,1,2,4,5,12,14,22,44,50,88,117,160,308,309,508,740,912,1518,1700,

%T 2470,3822,4280,6606,8164,10764,17158,17204,26276,35020,42238,63260,

%U 69664,97028,136920,149924,219665,262376,335600,493344,496312,724942,925277

%N Let A denote the sequence; then A is equal to the union of the self-convolutions A^2 and A^4, with terms in ascending order by size, where a(0)=1.

%C The occurrences of the terms of A^4 in A is given by A090848. Given A(m)=A^4(n), then what is the limit m/n as n grows? Example: at n=2000, m/n=3202/2000=2.616, at n=3000, m/n=7849/3000=2.6163...

%e A={1,1,2,4,5,12,14,22,44,50,88,117,...} since A is the sorted union of:

%e A^2={1,2,5,12,22,50,88,160,309,508,912,1518,2470,4280,6606,10764,...} and

%e A^4={1,4,14,44,117,308,740,1700,3822,8164,17158,35020,69664,136920,...}.

%Y Cf. A090845, A090848.

%K nonn

%O 0,3

%A _Paul D. Hanna_, Dec 09 2003