A121563 Numerator of Sum[i=1..n] i!/(i^i).

1, 3, 31, 523, 333787, 3029083, 357534985867, 1466339436008107, 86629054728081110243, 54153614078975016066611, 1404709830784309760237846406097211, 1404749977001540310126014452972211

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

Table of n, a(n) for n=1..12.

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

Cf. A000142, A000312, A055775, A094082.

Sequence in context: A327227 A360091 A245109 * A360343 A261471 A273378

Adjacent sequences: A121560 A121561 A121562 * A121564 A121565 A121566

Keyword

easy,frac,nonn

Author

Jonathan Vos Post, Aug 07 2006

Status

approved