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a(n) = (n+1)^n/(n+2) - (-1)^n/(n+2).
3

%I #11 Apr 13 2022 18:59:13

%S 0,1,2,13,104,1111,14706,233017,4304672,90909091,2161452050,

%T 57154490053,1664148937320,52914318216943,1824557876586914,

%U 67818912035696881,2703399548648159360,115047976828352449051,5206367514895562076642,249660952380952380952381

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

%H Vincenzo Librandi, <a href="/A083062/b083062.txt">Table of n, a(n) for n = 0..200</a>

%t Table[(n+1)^n/(n+2)-(-1)^n/(n+2),{n,0,20}] (* _Harvey P. Dale_, Oct 08 2013 *)

%Y Cf. A081216, A081209.

%K easy,nonn

%O 0,3

%A _Paul Barry_, Apr 20 2003