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”).

n to the power n double factorial, n^(n!!).
0

%I #9 Aug 11 2021 12:55:37

%S 1,4,27,65536,30517578125,22452257707354557240087211123792674816,

%T 54361846697263307560529495055267343940077014163990039113495978834700158362117849904436807

%N n to the power n double factorial, n^(n!!).

%C The next term -- a(8) -- has 347 digits. - _Harvey P. Dale_, Aug 11 2021

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DoubleFactorial.html">Double Factorial</a>

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

%t Table[n^n!!,{n,7}] (* _Harvey P. Dale_, Aug 11 2021 *)

%o (Python)

%o def doublefactorial(n):

%o if n <= 0:

%o return 1

%o else:

%o return n * doublefactorial(n-2)

%o for n in range(1,m):

%o print(n**doublefactorial(n))

%Y Cf. A254866, A053986.

%K nonn

%O 1,2

%A _Mark Stander_, Mar 20 2019