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A121563
Numerator of Sum_{i=1..n} i!/(i^i).
2
0, 1, 3, 31, 523, 333787, 3029083, 357534985867, 1466339436008107, 86629054728081110243, 54153614078975016066611, 1404709830784309760237846406097211, 1404749977001540310126014452972211
OFFSET
0,3
FORMULA
Numerator of Sum_{i=1..n} A000142(i)/A000312(i).
Limit_{n -> oo} A121563(n)/A121564(n) = A094082.
EXAMPLE
A121563/A121564 = 0, 1, 3/2, 31/18, 523/288, 333787/180000, ... .
MATHEMATICA
Numerator[Table[Sum[i!/(i^i), {i, n}], {n, 12}]] (* James C. McMahon, Oct 19 2024 *)
CROSSREFS
Denominators are in A121564.
Sequence in context: A327227 A360091 A245109 * A360343 A261471 A273378
KEYWORD
easy,frac,nonn
AUTHOR
Jonathan Vos Post, Aug 07 2006
STATUS
approved