A324901 - OEIS

%I #6 Apr 16 2019 15:28:58

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

%T 3,7,2,4,4,5,2,7,2,6,6,4,2,7,3,6,4,6,2,5,4,4,4,4,2,5,2,4,5,7,4,7,2,6,

%U 4,5,2,8,2,4,5,6,3,8,2,9,8,4,2,5,4,4,4,11,2,6,4,6,4,4,4,10,2,6,5,5,2,8,2,11,8

%N a(n) = A007895(A324900(n)).

%H Antti Karttunen, <a href="/A324901/b324901.txt">Table of n, a(n) for n = 1..20000</a>

%H <a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a>

%F a(n) = A007895(A324900(n)).

%o (PARI)

%o A000032(n) = (fibonacci(n+1)+fibonacci(n-1));

%o A324900(n) = { my(f = factor(n)); for(i=1, #f~, f[i, 1] = A000032(2*(1+primepi(f[i, 1])))); factorback(f); };

%o A007895(n) = { my(s=0); while(n>0, s++; n -= fibonacci(1+A072649(n))); (s); }

%o A072649(n) = { my(m); if(n<1, 0, m=0; until(fibonacci(m)>n, m++); m-2); }; \\ From A072649

%o A324901(n) = A007895(A324900(n));

%Y Cf. A000032, A007895, A324900, A324905, A324907.

%K nonn

%O 1,2

%A _Antti Karttunen_, Apr 15 2019