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 A152921 a(n) = 2^(2p-1)/2, where p is A000043(n). 4
 4, 16, 256, 4096, 16777216, 4294967296, 68719476736, 1152921504606846976, 1329227995784915872903807060280344576, 95780971304118053647396689196894323976171195136475136, 6582018229284824168619876730229402019930943462534319453394436096 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Ultraperfect numbers (A139306), divided by 2. Also, a(n) is the largest proper divisor of the n-th ultraperfect number. The cototient (A051953) of the even perfect numbers (A000396). - Amiram Eldar, Mar 06 2022 These cototients are squares = (2^(p-1))^2. - Bernard Schott, Mar 14 2022 LINKS FORMULA a(n) = A139306(n)/2. a(n) = A051953(A000396(n)), if there are no odd perfect numbers. - Amiram Eldar, Mar 06 2022 a(n) = A061652(n)^2. - Bernard Schott, Mar 14 2022 MATHEMATICA a[n_] := 4^(MersennePrimeExponent[n] - 1); Array[a, 12] (* Amiram Eldar, Mar 06 2022 *) CROSSREFS Cf. A000043, A000396, A019279, A051953, A061652, A139288, A139306, A152922, A152923. Sequence in context: A200045 A099202 A139288 * A215116 A212297 A152153 Adjacent sequences:  A152918 A152919 A152920 * A152922 A152923 A152924 KEYWORD nonn AUTHOR Omar E. Pol, Dec 15 2008 EXTENSIONS More terms from Amiram Eldar, Mar 06 2022 STATUS approved

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Last modified August 11 06:08 EDT 2022. Contains 356046 sequences. (Running on oeis4.)