The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A301315 Multiplicative with a(p^e) = prime(p) ^ a(e) (where prime(k) denotes the k-th prime number). 1
 1, 3, 5, 27, 11, 15, 17, 243, 125, 33, 31, 135, 41, 51, 55, 7625597484987, 59, 375, 67, 297, 85, 93, 83, 1215, 1331, 123, 3125, 459, 109, 165, 127, 177147, 155, 177, 187, 3375, 157, 201, 205, 2673, 179, 255, 191, 837, 1375, 249, 211, 38127987424935, 4913, 3993 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This sequence is a recursive version of A064988. This sequence is injective (all terms are distinct). LINKS Rémy Sigrist, Table of n, a(n) for n = 1..10000 FORMULA A225395(a(n)) = n. A279690(a(n)) = A279690(n). MATHEMATICA Fold[Function[{a, n}, Append[a, Times @@ Map[Prime[#1]^a[[#2]] & @@ # &, FactorInteger@ n]]], {1}, Range[2, 50]] (* Michael De Vlieger, Mar 19 2018 *) PROG (PARI) a(n) = my (f=factor(n)); prod (i=1, #f~, prime(f[i, 1])^a(f[i, 2])) CROSSREFS Cf. A064988, A225395, A279690. Sequence in context: A282141 A318321 A279510 * A272148 A272224 A069060 Adjacent sequences:  A301312 A301313 A301314 * A301316 A301317 A301318 KEYWORD nonn,mult AUTHOR Rémy Sigrist, Mar 18 2018 STATUS approved

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

Last modified May 16 05:56 EDT 2022. Contains 353693 sequences. (Running on oeis4.)