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a(n) = (n!)^2 + n! + 1.
1

%I #15 Oct 30 2022 18:19:59

%S 3,3,7,43,601,14521,519121,25406641,1625742721,131682257281,

%T 13168193068801,1593350962156801,229442533281561601,

%U 38775788049859660801,7600054456639175731201,1710012252725507098368001,437763136697415975333888001,126513546505547525872644096001

%N a(n) = (n!)^2 + n! + 1.

%H Harry J. Smith, <a href="/A066142/b066142.txt">Table of n, a(n) for n = 0..100</a>

%t #^2+#+1&/@(Range[0,20]!) (* _Harvey P. Dale_, Jul 15 2015 *)

%o (PARI) { for (n=0, 100, write("b066142.txt", n, " ", n!^2 + n! + 1) ) } \\ _Harry J. Smith_, Feb 02 2010

%K easy,nonn

%O 0,1

%A _George E. Antoniou_, Dec 07 2001

%E More terms from _Reiner Martin_, Dec 26 2001