Stern's diatomic series - frequencies

[Christian G. Bower]

No answers here, but an idea.

Look at A007306 (denominators of Farey fractions) which gives the odd
indices of A002487 and since A002487(n*2^k) = A002487(n) it governs the
frequency of values in the sequence.

Every k in A007306 appears phi(k) times, (except 1, a special case),
hence favoring the primes. The frequency in A002487 is probably related
to how closely clustered those values appear in A007306.

It appears that every value in A002487 has density 0, so I expect the
most frequent value will continue to increase.

Christian