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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

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