cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A121563 Numerator of Sum_{i=1..n} i!/(i^i).

Original entry on oeis.org

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

Views

Author

Jonathan Vos Post, Aug 07 2006

Keywords

Examples

			A121563/A121564 = 0, 1, 3/2, 31/18, 523/288, 333787/180000, ... .

Crossrefs

Denominators are in A121564.
Cf. A000142, A000312, A055775, A094082.

Programs

  • Mathematica
    Numerator[Table[Sum[i!/(i^i),{i,n}],{n,12}]] (* James C. McMahon, Oct 19 2024 *)

Formula

Numerator of Sum_{i=1..n} A000142(i)/A000312(i).
Limit_{n -> oo} A121563(n)/A121564(n) = A094082.
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Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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