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a(n) = Sum of peak heights of the n-th Dyck-path encoded by A014486(n).
2

%I #3 Mar 31 2012 13:21:13

%S 0,1,2,2,3,3,3,4,3,4,4,4,5,4,4,4,5,6,5,4,5,6,4,5,5,5,6,5,5,5,6,7,6,5,

%T 6,7,5,5,5,5,6,5,6,6,7,8,7,6,7,8,6,5,5,6,7,6,7,8,9,7,5,6,7,8,5,6,6,6,

%U 7,6,6,6,7,8,7,6,7,8,6,6,6,6,7,6,7,7,8,9,8,7,8,9,7,6,6,7,8,7,8,9,10,8

%N a(n) = Sum of peak heights of the n-th Dyck-path encoded by A014486(n).

%F a(n) = A125989(A014486(n)).

%e A014486(2) = 10 (1010 in binary) which encodes Dyck path /\/\ with two peaks at height=1, thus a(2)=2.

%Y a(n) = a(A125976(n)) for all n.

%K nonn

%O 0,3

%A _Antti Karttunen_, Jan 02 2007