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

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A293442 Multiplicative with a(p^e) = A019565(e). 20
 1, 2, 2, 3, 2, 4, 2, 6, 3, 4, 2, 6, 2, 4, 4, 5, 2, 6, 2, 6, 4, 4, 2, 12, 3, 4, 6, 6, 2, 8, 2, 10, 4, 4, 4, 9, 2, 4, 4, 12, 2, 8, 2, 6, 6, 4, 2, 10, 3, 6, 4, 6, 2, 12, 4, 12, 4, 4, 2, 12, 2, 4, 6, 15, 4, 8, 2, 6, 4, 8, 2, 18, 2, 4, 6, 6, 4, 8, 2, 10, 5, 4, 2, 12, 4, 4, 4, 12, 2, 12, 4, 6, 4, 4, 4, 20, 2, 6, 6, 9, 2, 8, 2, 12, 8 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Antti Karttunen, Table of n, a(n) for n = 1..65537 FORMULA a(1) = 1; for n > 1, a(n) = A019565(A067029(n)) * a(A028234(n)). Other identities. For all n >= 1: a(a(n)) = A293444(n). A048675(a(n)) = A001222(n). A001222(a(n)) = A064547(n) = A048675(A293444(n)). A007814(a(n)) = A162642(n). A087207(a(n)) = A267116(n). A248663(a(n)) = A268387(n). MATHEMATICA f[n_] := If[n == 1, 1, Apply[Times, Prime@ Flatten@ Position[Reverse@ IntegerDigits[Last@ #, 2], 1]] * f[n/Apply[Power, #]] &@ FactorInteger[n][[1]]]; Array[f, 105] (* Michael De Vlieger, Oct 31 2017 *) PROG (Scheme, with memoization-macro definec) (definec (A293442 n) (if (= 1 n) n (* (A019565 (A067029 n)) (A293442 (A028234 n))))) CROSSREFS Cf. A019565, A028234, A067029. Cf. also A293214, A293443, A293444. Sequence in context: A296073 A317943 A305800 * A318470 A175501 A144370 Adjacent sequences:  A293439 A293440 A293441 * A293443 A293444 A293445 KEYWORD nonn,mult AUTHOR Antti Karttunen, Oct 31 2017 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 January 22 16:29 EST 2020. Contains 331152 sequences. (Running on oeis4.)