login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A279020 a(n) = unreduced numerator in Sum_{k=1..n} (-1)^(k-1)/k^k. 1
0, 1, 3, 85, 21652, 67690148, 3158065145088, 2600806474859606784, 43634288683151793919033344, 16904817514490272003065681518985216, 169048175123324778807714958980684133171200000, 48231417258392463006590622244366007983063473271603200000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Daniel Suteu, Table of n, a(n) for n = 0..19

Wikipedia, Sophomore's dream.

FORMULA

a(n) ~ A083648 * A002109(n).

a(0) = 0, a(n) = n^n * a(n-1) + (-1)^(n-1) * A002109(n-1).

PROG

(PARI) sum(k=1, n, (-1)^(k-1)/k^k) * prod(k=1, n, k^k)

CROSSREFS

Cf. A083648.

Sequence in context: A120264 A292830 A185142 * A302947 A326948 A159053

Adjacent sequences:  A279017 A279018 A279019 * A279021 A279022 A279023

KEYWORD

nonn,easy

AUTHOR

Daniel Suteu, Dec 03 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 27 12:27 EDT 2020. Contains 334657 sequences. (Running on oeis4.)