A342465 -id:A342465 - cp's OEIS frontend

A342466 a(n) = A336466(1+A000265(sigma(n))), where A336466 is fully multiplicative with a(p) = A000265(p-1) for p prime, and A000265(k) is the odd part of k.

1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 3, 1, 11, 1, 1, 1, 11, 5, 1, 1, 5, 1, 1, 1, 1, 7, 23, 1, 1, 3, 1, 1, 1, 1, 11, 1, 5, 1, 1, 3, 1, 5, 1, 1, 1, 1, 1, 1, 9, 9, 7, 1, 1, 1, 5, 1, 23, 15, 1, 5, 1, 3, 1, 1, 11, 11, 29, 1, 5, 1, 1, 1, 1, 1, 21, 1, 27, 3, 3, 3, 13, 1

Offset: 1

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Antti Karttunen, Mar 16 2021

nonn

Index entries for sequences related to sigma(n)

Cf. A000203, A000265, A003958, A161942, A337194, A336466, A336698, A342465.

A000265(n) = (n>>valuation(n,2));
A336466(n) = { my(f=factor(n)); prod(k=1,#f~,if(2==f[k,1],1,(A000265(f[k,1]-1))^f[k,2])); };
A337194(n) = (1+A000265(sigma(n)));
A342466(n) = A336466(A336698(n));

a(n) = A336466(A336698(n)) = A336466(A337194(n)).

a(n) = A000265(A003958(1+A161942(n))).

cp's OEIS Frontend

A342466 a(n) = A336466(1+A000265(sigma(n))), where A336466 is fully multiplicative with a(p) = A000265(p-1) for p prime, and A000265(k) is the odd part of k.

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