Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A097558
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A097558 Sum{k=1 to oo} a(k)/k^r = sqrt(zeta(r) -3/4) +1/2. +0
1
1, 1, 1, 0, 1, -1, 1, 1, 0, -1, 1, 3, 1, -1, -1, -1, 1, 3, 1, 3, -1, -1, 1, -7, 0, -1, 1, 3, 1, 7, 1, 3, -1, -1, -1, -12, 1, -1, -1, -7, 1, 7, 1, 3, 3, -1, 1, 19, 0, 3, -1, 3, 1, -7, -1, -7, -1, -1, 1, -27, 1, -1, 3, -6, -1, 7, 1, 3, -1, 7, 1, 45, 1, -1, 3, 3, -1, 7, 1, 19, -1, -1, 1, -27, -1, -1, -1, -7, 1, -27, -1, 3, -1, -1, -1, -51, 1, 3, 3, -12, 1, 7 (list; graph; listen)
OFFSET

1,12

COMMENT

The "+ 1/2" in the Dirichlet series generating function was added so the first term of the sequence is an integer. We could have added/subtracted any other integer+1/2 instead, and then had the first term equal another integer. "zeta(r)" refers to sum{k=1 to oo} 1/k^r.

FORMULA

a(1)=1; for n>=2, a(n) = 1 - sum{k|n, 2<=k<=n-1} a(n/k) a(k).

CROSSREFS

Adjacent sequences: A097555 A097556 A097557 this_sequence A097559 A097560 A097561

Sequence in context: A130046 A014491 A061680 this_sequence A124385 A106478 A115069

KEYWORD

sign

AUTHOR

Leroy Quet (qq-quet(AT)mindspring.com), Aug 27 2004

EXTENSIONS

More terms from David Wasserman (dwasserm(AT)earthlink.net), Dec 27 2007

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


AT&T Labs Research