Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
a(n) = A193507(n) - A080359(n).
17

%I #23 Mar 30 2012 18:53:00

%S 0,0,0,0,0,0,0,0,0,0,0,0,0,18,12,0,0,0,0,36,34,0,0,0,0,0,0,18,0,0,0,0,

%T 0,0,0,0,0,0,0,0,0,0,0,48,0,0,0,0,0,0,24,0,0,0,0,0,36,0,0,0,0,0,0,0,0,

%U 0,0,0,30,0,0,0,0,16,0,0,0,12,0,0,0,0,0

%N a(n) = A193507(n) - A080359(n).

%C Conjecture: The sequence is unbounded.

%C Records are 0, 18, 36, 48, 52, ... with indices 1, 14, 20, 44, 96, ...

%C The places of nonzero terms correspond to places of those terms of A193507 which are in A164294. Conjecture: The asymptotic density of nonzero terms is 2/(e^2+1). A heuristic proof follows from the comment to A193507 and the first reference there.

%H Alois P. Heinz, <a href="/A194186/b194186.txt">Table of n, a(n) for n = 1..1000</a>

%Y Cf. A193507, A080359, A104272, A194184.

%K nonn

%O 1,14

%A _Vladimir Shevelev_, Aug 18 2011