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A132638 Numbers of the form m^m where m is oblong (promic). 0

%I #5 Mar 16 2022 21:09:18

%S 4,46656,8916100448256,104857600000000000000000000,

%T 205891132094649000000000000000000000000000000,

%U 150130937545296572356771972164254457814047970568738777235893533016064

%N Numbers of the form m^m where m is oblong (promic).

%F a(n) = (n^2+n)^(n^2+n).

%e a(2)=46656 because we can write 46656=6^6 or 46656=6*6*6*6*6*6.

%o (PARI) a(n)=(n^2+n)^(n^2+n) \\ _Charles R Greathouse IV_, Mar 16 2022

%o (PARI) a(n)=(n*=n+1)^n \\ _Charles R Greathouse IV_, Mar 16 2022

%Y Subsequence of A000312.

%Y Oblong numbers: A002378

%Y Cf. A008973, A008974, A051674.

%K easy,nonn

%O 1,1

%A _Omar E. Pol_, Aug 24 2007

%E New name and a(5)-a(6) from _Charles R Greathouse IV_, Mar 16 2022

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Last modified April 30 05:51 EDT 2024. Contains 372119 sequences. (Running on oeis4.)