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A291167 Numbers n such that psi(n) is a perfect square where psi(n) = A001615(n). 4
1, 3, 18, 20, 22, 27, 60, 66, 70, 72, 80, 88, 92, 94, 99, 115, 119, 162, 170, 210, 212, 214, 217, 240, 243, 252, 264, 265, 276, 280, 282, 288, 308, 310, 315, 320, 322, 345, 352, 357, 368, 376, 382, 385, 423, 497, 500, 510, 517, 527, 540, 594, 596, 612, 636, 637, 642, 648, 651, 679, 680, 710, 725, 742 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The product of an even number of distinct members of A066436 is in the sequence. - Robert Israel, Aug 22 2017

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

EXAMPLE

60 is a term because psi(60) = 144 is a perfect square.

MAPLE

filter:= proc(n) issqr(n*mul(1+1/p, p=numtheory:-factorset(n))) end proc:

select(filter, [$1..1000]); # Robert Israel, Aug 22 2017

MATHEMATICA

Select[Range@ 750, IntegerQ@ Sqrt[# Sum[MoebiusMu[d]^2/d, {d, Divisors@ #}]] &] (* Michael De Vlieger, Aug 19 2017 *)

PROG

(PARI) a001615(n) = n*sumdivmult(n, d, issquarefree(d)/d);

is(n) = issquare(a001615(n));

CROSSREFS

Cf. A001615, A006532, A066436.

Sequence in context: A212994 A307640 A195998 * A174029 A103715 A131860

Adjacent sequences:  A291164 A291165 A291166 * A291168 A291169 A291170

KEYWORD

nonn,easy

AUTHOR

Altug Alkan, Aug 19 2017

STATUS

approved

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Last modified November 16 20:09 EST 2019. Contains 329206 sequences. (Running on oeis4.)