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A327930 Product_{d|n, d>1} prime(A003415(d)), where A003415(x) gives the arithmetic derivative of x. 2
1, 2, 2, 14, 2, 44, 2, 518, 26, 68, 2, 16324, 2, 92, 76, 67858, 2, 41756, 2, 42364, 116, 164, 2, 116569684, 58, 188, 2678, 84364, 2, 3609848, 2, 27753922, 172, 268, 148, 4353104756, 2, 292, 212, 528236716, 2, 10506584, 2, 256004, 164996, 388, 2, 9360895334252, 86, 388484, 284, 346108, 2, 1802063692, 212, 1495183172, 316 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..8192

FORMULA

a(n) = Product_{d|n, d>1} A000040(A003415(d)).

For all n >= 2, a(n) = prime(A003415(n)) * A064989(A319356(n)).

A001221(a(n)) = A319685(n).

A001222(a(n)) = A032741(n).

A007814(a(n)) = A001221(n).

A056239(a(n)) = A319684(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

A327930(n) = { my(m=1); fordiv(n, d, if((d>1), m *= prime(A003415(d)))); (m); };

CROSSREFS

Cf. A000040, A001221, A001222, A003415, A007814, A056239, A064989, A319356, A319684, A319685, A327931 (rgs-transform).

Sequence in context: A151367 A057648 A282460 * A068511 A306544 A060590

Adjacent sequences:  A327927 A327928 A327929 * A327931 A327932 A327933

KEYWORD

nonn

AUTHOR

Antti Karttunen, Sep 30 2019

STATUS

approved

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Last modified May 31 02:51 EDT 2020. Contains 334747 sequences. (Running on oeis4.)