Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A131712
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A131712 Period 4: repeat 1, 3, 7, 9 . +0
1
1, 3, 7, 9, 1, 3, 7, 9, 1, 3, 7, 9, 1, 3, 7, 9, 1, 3, 7, 9, 1, 3, 7, 9, 1, 3, 7, 9 (list; graph; listen)
OFFSET

0,2

COMMENT

Terms of the simple continued fraction of 58/[17*sqrt(285)-243]. [From Paolo P. Lava (ppl(AT)spl.at), Aug 05 2009]

FORMULA

a(n)=(1/6)*{17*(n mod 6)+2*[(n+1) mod 4]-2*[(n+2) mod 4]-[(n+3) mod 4]}, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Oct 02 2007

G.f.: -(1+3*x+7*x^2+9*x^3)/(x-1)/(x+1)/(1+x^2). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 14 2007

a(n)=5-[3/2-(3/2)*I]*I^n-(-1)^n-[3/2+(3/2)*I]*(-I)^n, with n>=0 and I=sqrt(-1) - Paolo P. Lava (ppl(AT)spl.at), Jul 17 2008

PROGRAM

(PARI) a(n)=1+2*(n%4)+2*(n%4\2) [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Aug 28 2009]

CROSSREFS

Cf. A131707, A072845.

Sequence in context: A152057 A101366 A090458 this_sequence A072845 A021729 A071641

Adjacent sequences: A131709 A131710 A131711 this_sequence A131713 A131714 A131715

KEYWORD

nonn

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Sep 14 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 November 27 22:38 EST 2009. Contains 167602 sequences.


AT&T Labs Research