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%I #4 Mar 30 2012 18:40:38
%S 1,3,31,523,333787,3029083,357534985867,1466339436008107,
%T 86629054728081110243,54153614078975016066611,
%U 1404709830784309760237846406097211,1404749977001540310126014452972211
%N Numerator of Sum[i=1..n] i!/(i^i).
%C Denominators are A121564. Limit as n approaches infinity of A121563(n)/A121564(n) = 1.879853862175258533486306145... whose decimal expansion is A094082.
%F Numerator of Sum[i=1..n] i!/(i^i) A000142(i)/A000312(i).
%e a(1) = 1/1 = 1.
%e a(2) = 3/2 = 1.5
%e a(3) = 31/18 = 1.72222222222.
%e a(4) = 523/288 = 1.81597222222.
%e a(5) = 333787/180000 = 1.85437222222.
%Y Cf. A000142, A000312, A055775, A094082.
%K easy,frac,nonn
%O 1,2
%A _Jonathan Vos Post_, Aug 07 2006
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