A342459 - OEIS

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A342459

a(n) = gcd(A048250(n), A342001(n)).

4

1, 1, 1, 1, 1, 1, 1, 3, 2, 1, 1, 4, 1, 3, 8, 1, 1, 1, 1, 6, 2, 1, 1, 1, 2, 3, 1, 8, 1, 1, 1, 1, 2, 1, 12, 2, 1, 3, 8, 1, 1, 1, 1, 12, 1, 1, 1, 2, 2, 9, 4, 14, 1, 3, 8, 1, 2, 1, 1, 2, 1, 3, 1, 3, 6, 1, 1, 18, 2, 1, 1, 1, 1, 3, 1, 20, 6, 1, 1, 2, 4, 1, 1, 2, 2, 3, 8, 1, 1, 1, 4, 24, 2, 1, 24, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1

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OFFSET

1,8

LINKS

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

FORMULA

a(n) = A342458(n) / A003557(n) = gcd(A048250(n), A342001(n)).

a(n) = A342001(n) / A342919(n).

PROG

(PARI)

A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));

A003557(n) = (n/factorback(factorint(n)[, 1]));

A342001(n) = (A003415(n) / A003557(n));

A048250(n) = factorback(apply(p -> p+1, factor(n)[, 1]));

A342459(n) = gcd(A048250(n), A342001(n));

CROSSREFS

Cf. A001615, A003415, A003557, A048250, A342001, A342458, A342919.

Cf. also A066086, A342416.

Sequence in context: A373366 A373377 A053989 * A057160 A239938 A097794

Adjacent sequences: A342456 A342457 A342458 * A342460 A342461 A342462

KEYWORD

nonn

AUTHOR

Antti Karttunen, Mar 28 2021

STATUS

approved