A121563 - OEIS

A121563

Numerator of Sum_{i=1..n} i!/(i^i).

0, 1, 3, 31, 523, 333787, 3029083, 357534985867, 1466339436008107, 86629054728081110243, 54153614078975016066611, 1404709830784309760237846406097211, 1404749977001540310126014452972211

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..12.

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.

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