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Even multiply-perfect numbers divided by 2.
1

%I #12 Mar 20 2021 10:55:12

%S 3,14,60,248,336,4064,15120,16380,261888,1089270,11784960,16775168,

%T 22766400,71495424,229909120,689727360,738152448,4294934528,

%U 7091219520,15999197760,21930739200,25500590080,33216860160

%N Even multiply-perfect numbers divided by 2.

%C Just as no odd perfect number is known, all known multiply-perfect numbers A007691 greater than 1 are even.

%C The subsequence of even perfect numbers divided by 2 is A133028.

%C The subsequence of even triperfects / 2 is A326051. - _Antti Karttunen_, Mar 20 2021

%D R. K. Guy, Unsolved Problems in Number Theory, B2.

%F a(n) = A007691(n+1)/2.

%F a(n) = A194771(n+1)/4. [provided there are no odd multiperfect numbers > 1] - _Antti Karttunen_, Mar 20 2021

%Y Cf. A007691, A133028, A194771, A326051.

%K nonn

%O 1,1

%A _Jonathan Sondow_, Nov 22 2012