The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

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