A132643 - OEIS

%I #4 Aug 26 2024 12:38:35

%S 1,1,4,3125,437893890380859375,

%T 170676555274132171974277914691501574771358362295975962674353045737940041855191232907575296

%N Bell number B(n) raised to power B(n).

%C Bell numbers (Also called exponential numbers): A000110.

%F a(n) = B(n)^B(n).

%e a(4)=3125 because B(4)=5 and we can write 3125=5^5 or 3125=5*5*5*5*5.

%t #^#&/@BellB[Range[0,5]] (* _Harvey P. Dale_, Aug 26 2024 *)

%Y Cf. A000110.

%K nonn

%O 1,3

%A _Omar E. Pol_, Aug 25 2007