A374112 a(n) = gcd(A113177(n), A276085(n)), where A113177 and A276085 are fully additive with a(p) = Fibonacci(p) and a(p) = p#/p, respectively.

0, 1, 2, 2, 1, 3, 1, 3, 4, 1, 1, 4, 1, 1, 1, 4, 1, 5, 1, 1, 1, 1, 1, 5, 2, 1, 6, 1, 1, 1, 1, 5, 1, 1, 18, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 2, 1, 1, 1, 1, 7, 2, 1, 1, 1, 1, 1, 1, 1, 17, 6, 2, 1, 1, 1, 1, 1, 1, 7, 1, 1, 2, 1, 6, 1, 1, 1, 8, 1, 1, 17, 6, 1, 1, 1, 1, 1, 6, 1, 1, 1, 2, 7, 1, 1, 1, 2, 1, 1, 1, 1, 2

Offset

1,3

Links

Antti Karttunen, Table of n, a(n) for n = 1..65537

Prog

(PARI)
A113177(n) = if(n<=1, 0, my(f=factor(n)); sum(i=1, #f~, f[i, 2]*fibonacci(f[i, 1])));
A276085(n) = { my(f=factor(n)); sum(k=1, #f~, f[k, 2]*prod(i=1, primepi(f[k, 1]-1), prime(i))); };
A374112(n) = gcd(A113177(n), A276085(n));

Crossrefs

Cf. A113177, A276085, A374113, A374114 (indices of even terms), A374115 (of odd terms).

Cf. also A374116.

Sequence in context: A159876 A173493 A044924 * A379735 A057036 A069004

Adjacent sequences: A374109 A374110 A374111 * A374113 A374114 A374115

Keyword

nonn

Author

Antti Karttunen, Jun 29 2024

Status

approved