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

%I #16 Feb 03 2020 15:30:41

%S 3,5,13,69,631,7783,117657,2097161,43046731,1000000011,25937424613,

%T 743008370701,23298085122495,793714773254159,29192926025390641,

%U 1152921504606846993,48661191875666868499,2185911559738696531987,104127350297911241532861

%N a(n) = n^(n-1) + n + 1.

%H Harry J. Smith, <a href="/A066141/b066141.txt">Table of n, a(n) for n = 1..100</a>

%t Table[n^(n-1)+n+1,{n,1,25}] (* _Vladimir Joseph Stephan Orlovsky_, Jan 30 2012 *)

%o (PARI) { for (n=1, 100, write("b066141.txt", n, " ", n^(n-1) + n + 1) ) } \\ _Harry J. Smith_, Feb 02 2010

%K easy,nonn

%O 1,1

%A _George E. Antoniou_, Dec 07 2001