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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. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,9

LINKS

Table of n, a(n) for n=1..105.

Index entries for sequences related to sigma(n)

FORMULA

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

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

PROG

(PARI)

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));

CROSSREFS

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

Sequence in context: A030577 A070670 A049586 * A133721 A083202 A030560

Adjacent sequences:  A342463 A342464 A342465 * A342467 A342468 A342469

KEYWORD

nonn

AUTHOR

Antti Karttunen, Mar 16 2021

STATUS

approved

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Last modified May 16 04:53 EDT 2022. Contains 353688 sequences. (Running on oeis4.)