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A297002 Completely multiplicative with a(prime(k)) = prime(2 * k) (where prime(k) denotes the k-th prime). 6
1, 3, 7, 9, 13, 21, 19, 27, 49, 39, 29, 63, 37, 57, 91, 81, 43, 147, 53, 117, 133, 87, 61, 189, 169, 111, 343, 171, 71, 273, 79, 243, 203, 129, 247, 441, 89, 159, 259, 351, 101, 399, 107, 261, 637, 183, 113, 567, 361, 507, 301, 333, 131, 1029, 377, 513, 371 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This sequence is a permutation of {1} union A066207.

This sequence is the third row of A248601.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A248601(3, n) for any n > 0.

MATHEMATICA

Array[Times @@ Map[Power @@ # &, FactorInteger[#] /. {p_, e_} /; p > 1 :> {Prime[2 PrimePi@ p], e}] &, 57] (* Michael De Vlieger, Dec 23 2017 *)

PROG

(PARI) a(n) = my (f=factor(n)); prod(i=1, #f~, prime(2 * primepi(f[i, 1]))^f[i, 2])

CROSSREFS

Cf. A066207, A248601.

Sequence in context: A215800 A103601 A291344 * A111250 A118643 A043772

Adjacent sequences:  A296999 A297000 A297001 * A297003 A297004 A297005

KEYWORD

easy,nonn,mult

AUTHOR

Rémy Sigrist, Dec 23 2017

EXTENSIONS

Comment corrected by Rémy Sigrist, Sep 22 2018

STATUS

approved

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Last modified May 10 01:06 EDT 2021. Contains 343747 sequences. (Running on oeis4.)