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A174212 Ultradoublefactorials: a(n) = (n!!)^(n!!). 0

%I #16 Nov 11 2020 03:07:12

%S 1,1,4,27,16777216,437893890380859375,

%T 500702078263459319174537025249570888246709955377400223021257741084821677152403456

%N Ultradoublefactorials: a(n) = (n!!)^(n!!).

%C The next term (a(8)) has 993 digits. - _Harvey P. Dale_, Aug 17 2017

%F a(n) = A006882(n)^A006882(n).

%F Sum_{n>=1} 1/a(n) = A134877. - _Amiram Eldar_, Nov 11 2020

%e For n=4 the doublefactorial is n!! = 4*2 = 8 and a(n) = n!!^n!! = 8^8 = 16777216.

%p P:=proc(i) local a,n; for n from 0 by 1 to i do print(doublefactorial(n)^doublefactorial(n)); od; end: P(10);

%t udf[n_]:=Module[{c=n!!},c^c]; Array[udf,7,0] (* _Harvey P. Dale_, Aug 17 2017 *)

%Y Cf. A006882, A046882, A134877, A165812.

%K easy,nonn

%O 0,3

%A _Paolo P. Lava_ & _Giorgio Balzarotti_, Mar 16 2010

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Last modified April 23 10:29 EDT 2024. Contains 371905 sequences. (Running on oeis4.)