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A121563 Numerator of Sum[i=1..n] i!/(i^i). 2
1, 3, 31, 523, 333787, 3029083, 357534985867, 1466339436008107, 86629054728081110243, 54153614078975016066611, 1404709830784309760237846406097211, 1404749977001540310126014452972211 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Denominators are A121564. Limit as n approaches infinity of A121563(n)/A121564(n) = 1.879853862175258533486306145... whose decimal expansion is A094082.
LINKS
FORMULA
Numerator of Sum[i=1..n] i!/(i^i) A000142(i)/A000312(i).
EXAMPLE
a(1) = 1/1 = 1.
a(2) = 3/2 = 1.5
a(3) = 31/18 = 1.72222222222.
a(4) = 523/288 = 1.81597222222.
a(5) = 333787/180000 = 1.85437222222.
CROSSREFS
Sequence in context: A327227 A360091 A245109 * A360343 A261471 A273378
KEYWORD
easy,frac,nonn
AUTHOR
Jonathan Vos Post, Aug 07 2006
STATUS
approved

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Last modified March 29 11:45 EDT 2024. Contains 371278 sequences. (Running on oeis4.)