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a(n) = A000120(A264977(n)); number of odd terms on row n of A125184.
7

%I #12 Oct 30 2016 13:44:15

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

%T 3,3,2,3,3,2,1,1,2,3,3,2,3,3,2,3,3,4,1,3,4,3,3,4,1,5,4,1,5,6,1,5,4,3,

%U 3,4,3,3,2,3,3,2,3,3,2,3,1,2,1,3,2,1,3,4,3,3,2,3,3,2,3,3,2,3,3,4,3,3,4,3,1,2,3,3,4,3,3,4,3,3,4,5,1,4,5,3,4

%N a(n) = A000120(A264977(n)); number of odd terms on row n of A125184.

%C Positions of even and odd terms are given by A008585 and A001651, which means that parity-wise the terms match with the Fibonacci numbers, A000045.

%H Antti Karttunen, <a href="/A277700/b277700.txt">Table of n, a(n) for n = 0..8193</a>

%F a(n) = A000120(A264977(n)).

%F a(n) = A001221(A277330(n)) = A001222(A277330(n)).

%F Other identities. For all n >= 0:

%F a(2n) = a(n).

%F A000035(a(n)) = A011655(n).

%o (Scheme) (define (A277700 n) (A000120 (A264977 n)))

%Y Cf. A000120, A001221, A001222, A125184, A264977, A277330.

%Y Cf. also A000045, A001651, A008585, A011655.

%K nonn

%O 0,4

%A _Antti Karttunen_, Oct 27 2016