Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A088166
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A088166 Smallest integer divisible by fibonacci(2n) such that second partial quotient in continued fraction expansion of a(n)/phi is 2 (phi is the golden ratio), n>=2. +0
2
12, 72, 504, 3410, 23184, 159094, 1089648, 7465176, 51170460, 350713222, 2403763488, 16475700746, 112925875764, 774004377960, 5305106018016, 36361732975514, 249227005939632, 1708227330997438, 11708364225400920 (list; graph; listen)
OFFSET

2,1

COMMENT

Smallest integer divisible by fibonacci(2n) such that continued fraction expansion of a(n)/phi has period 2 or 4.

FORMULA

a(n) = fibonacci(2n)*ceil(lucas(2n)/2)

Fibonacci(2n)*(A071618(n)+1) - Thomas Baruchel (baruchel(AT)users.sourceforge.net), Nov 26 2003

CROSSREFS

Cf. A087954.

Sequence in context: A125322 A126480 A030235 this_sequence A138402 A108734 A143559

Adjacent sequences: A088163 A088164 A088165 this_sequence A088167 A088168 A088169

KEYWORD

easy,nonn

AUTHOR

Thomas Baruchel (baruchel(AT)users.sourceforge.net), Sep 21 2003

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 14:50 EST 2009. Contains 167570 sequences.


AT&T Labs Research