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a(n) = Sum_{k >= 0, k odd} binomial(wt(n+k),k+1), where wt() = A000120().
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%I #4 Apr 24 2024 19:37:27

%S 1,1,2,1,3,2,3,1,3,2,4,3,7,3,4,1,3,2,4,3,7,3,5,3,7,4,9,7,14,4,5,1,3,2,

%T 4,3,7,3,5,3,7,4,9,7,14,4,6,3,7,4,9,7,14,5,10,7,15,9,21,14,25,5,6,1,3,

%U 2,4,3,7,3,5,3,7,4,9,7,14,4,6,3,7,4,9,7,14,5,10,7,15,9,21,14,25,5,7,3,7,4,9

%N a(n) = Sum_{k >= 0, k odd} binomial(wt(n+k),k+1), where wt() = A000120().

%Y Cf. A000120.

%K nonn

%O 0,3

%A _N. J. A. Sloane_, Jun 01 2009