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A300253 GCD of arithmetic derivative (A003415) and its Möbius transform (A300251). 4
0, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 8, 1, 1, 2, 4, 1, 1, 1, 2, 2, 1, 1, 4, 1, 1, 3, 4, 1, 1, 1, 16, 2, 1, 2, 4, 1, 1, 2, 4, 1, 1, 1, 16, 13, 1, 1, 16, 1, 1, 2, 2, 1, 3, 2, 4, 2, 1, 1, 4, 1, 1, 3, 16, 2, 1, 1, 2, 2, 1, 1, 4, 1, 1, 1, 8, 2, 1, 1, 88, 27, 1, 1, 4, 2, 1, 2, 28, 1, 1, 2, 4, 2, 1, 2, 16, 1, 11, 1, 2, 1, 1, 1, 4, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,8

LINKS

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

FORMULA

a(n) = gcd(A003415(n), A300251(n)) = gcd(A003415(n), A300252(n)).

PROG

(PARI)

A003415(n) = {my(fac); if(n<1, 0, fac=factor(n); sum(i=1, matsize(fac)[1], n*fac[i, 2]/fac[i, 1]))}; \\ From A003415

A300251(n) = sumdiv(n, d, moebius(n/d)*A003415(d));

A300253(n) = gcd(A003415(n), A300251(n));

CROSSREFS

Cf. A003415, A085731, A300245, A300251, A300252.

Sequence in context: A074058 A308552 A088440 * A212173 A274006 A203025

Adjacent sequences:  A300250 A300251 A300252 * A300254 A300255 A300256

KEYWORD

nonn

AUTHOR

Antti Karttunen, Mar 08 2018

STATUS

approved

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Last modified August 14 19:47 EDT 2020. Contains 336483 sequences. (Running on oeis4.)