login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Factorials successively exponentiated.
1

%I #7 Dec 08 2022 20:46:18

%S 1,1,2,36,48708493958471199415506599153950129703565945470976

%N Factorials successively exponentiated.

%C a(5) > 10^(10^50).

%F a(n) = n!^a(n - 1) starting with a(0)=0!=1.

%e a(3) = 36 because 3!^(2!^(1!^0!)) = 36

%t a[0] := 1 a[n_Integer] := n!^a[n - 1]

%Y Cf. A049384, A358972 (exponents left to right).

%K easy,nonn

%O 0,3

%A Jon Kongsvold (Jon.Kongsvold(AT)idi.ntnu.no), Aug 28 2002

%E Edited by _Henry Bottomley_, Jul 13 2003