1,2

Chai Wah Wu, Table of n, a(n) for n = 1..10000

H. Bottomley, Some Smarandache-type multiplicative sequences

a(n) =n/A008835.

Dirichlet g.f. zeta(4s)*zeta(s-1)/zeta(4s-4). The Dirichlet convolution of this sequence with A008835 is A000203. - R. J. Mathar, Apr 05 2011

(Python)

from operator import mul

from functools import reduce

from sympy import factorint

def A053165(n):

....return 1 if n <=1 else reduce(mul, [p**(e % 4) for p, e in factorint(n).items()])

# Chai Wah Wu, Feb 04 2015

A000190, A007913, A008835, A050985.

Sequence in context: A002377 A053836 A025483 * A056962 A043275 A216455

Adjacent sequences: A053162 A053163 A053164 * A053166 A053167 A053168

nonn,mult

Henry Bottomley, Feb 29 2000

approved