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!)
A120296 Numerator of Sum (-1)^(k+1)*1/k^4, k = 1..n. 17
1, 15, 1231, 19615, 12280111, 4090037, 9824498837, 157151464517, 38193952437631, 7637983935923, 111835788321880643, 111830093529238643, 3194097388508809394723, 3194009594644356242723, 15970381078317764649391 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

p divides a(p-1) for prime p > 2 - similar to Wolstenholme's theorem for A007406(n) ( numerator of Sum 1/k^2, k = 1..n ) and for A007410(n) ( numerator of Sum 1/k^4, k = 1..n ).

LINKS

Table of n, a(n) for n=1..15.

FORMULA

a(n) = numerator[Sum[(-1)^(k+1)*1/k^4,{k,1,n}]]].

MATHEMATICA

Numerator[Table[Sum[(-1)^(k+1)*1/k^4, {k, 1, n}], {n, 1, 20}]]

CROSSREFS

Cf. A007406, A119682, A007410.

Sequence in context: A059383 A206394 A098723 * A209679 A135810 A273967

Adjacent sequences:  A120293 A120294 A120295 * A120297 A120298 A120299

KEYWORD

frac,nonn

AUTHOR

Alexander Adamchuk, Jul 10 2006

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 March 28 05:38 EDT 2020. Contains 333073 sequences. (Running on oeis4.)