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A139234 First differences of even superperfect numbers A061652. 10

%I #14 Aug 18 2020 14:27:41

%S 2,12,48,4032,61440,196608,1073479680,1152921503533105152,

%T 309485008668423564117934080,81129328929596860350720280363008,

%U 85070510600596201259161956068936908800

%N First differences of even superperfect numbers A061652.

%C First differences of Mersenne primes A000668, divided by 2 (see A139231).

%C Also, first differences of superperfect numbers A019279, if there are no odd superperfect numbers.

%F a(n) = A061652(n+1) - A061652(n) = A139231(n)/2. Also, a(n) = A019279(n+1) - A019279(n), if there are no odd superperfect numbers.

%e a(2) = 12 because A061652(2) = 4 and A061652(3) = 16 then 16 - 4 = 12.

%t Differences[Table[2^(MersennePrimeExponent[n]-1),{n,12}]] (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, Aug 18 2020 *)

%Y Cf. A000668, A019279, A061652, A139228, A139229, A139230, A139231, A139232, A139233, A139235, A139236, A139237.

%K nonn

%O 1,1

%A _Omar E. Pol_, Apr 18 2008

%E a(8)-a(11) from A139231(n)/2 by _Jinyuan Wang_, Mar 04 2020

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Last modified June 9 23:33 EDT 2024. Contains 373251 sequences. (Running on oeis4.)