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A323903 a(n) = A002487(A122111(n)).

%I A323903 #10 Feb 10 2019 23:06:32
%S A323903 1,1,1,2,1,2,1,3,4,2,1,3,1,2,4,3,1,4,1,3,4,2,1,3,8,2,7,3,1,4,1,5,4,2,
%T A323903 8,8,1,2,4,3,1,4,1,3,7,2,1,5,14,12,4,3,1,9,8,3,4,2,1,8,1,2,7,5,8,4,1,
%U A323903 3,4,12,1,6,1,2,18,3,14,4,1,5,9,2,1,8,8,2,4,3,1,9,14,3,4,2,8,5,1,16,7,6,1,4,1,3,18
%N A323903 a(n) = A002487(A122111(n)).
%H A323903 Antti Karttunen, <a href="/A323903/b323903.txt">Table of n, a(n) for n = 1..16384</a>
%H A323903 Antti Karttunen, <a href="/A323903/a323903.txt">Data supplement: n, a(n) computed for n = 1..65537</a>
%H A323903 <a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a>
%H A323903 <a href="/index/St#Stern">Index entries for sequences related to Stern's sequences</a>
%F A323903 a(n) = A002487(A122111(n)) = A002487(A322865(n)).
%F A323903 a(p) = 1 for all primes p.
%o A323903 (PARI)
%o A323903 A002487(n) = { my(a=1, b=0); while(n>0, if(bitand(n, 1), b+=a, a+=b); n>>=1); (b); }; \\ From A002487
%o A323903 A064989(n) = {my(f); f = factor(n); if((n>1 && f[1,1]==2), f[1,2] = 0); for (i=1, #f~, f[i,1] = precprime(f[i,1]-1)); factorback(f)};
%o A323903 A122111(n) = if(1==n,n,prime(bigomega(n))*A122111(A064989(n)));
%o A323903 A323903(n) = A002487(A122111(n));
%Y A323903 Cf. A002487, A122111, A322865.
%Y A323903 Cf. also A323168, A323174, A323902.
%K A323903 nonn
%O A323903 1,4
%A A323903 _Antti Karttunen_, Feb 09 2019