Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A145451
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A145451 a(n)=(1/2) ((1 + Sqrt[2])^(3^n) + (1 - Sqrt[2])^(3^n)) +0
2
1, 7, 1393, 10812186007, 5055923762956339922096065927393, 51696547652164531341279391926435565907515002043751467094659953403909275540128258\ 3412315252007 (list; graph; listen)
OFFSET

0,2

COMMENT

A145451(n)=(1/2)A006266(n)

FORMULA

a(n)=(1/2) ((1 + Sqrt[2])^(3^n) + (1 - Sqrt[2])^(3^n)) a[n+1]= 4 a[n]^3 + 3 a[n] a[0]=1 A145451(n)=(1/2)A006266(n)

MATHEMATICA

1) Table[Simplify[Expand[(1/2) ((1 + Sqrt[2])^(3^n) + (1 - Sqrt[2])^(3^n))]], {n, 0, 5}]

2) a = {}; k = 1; Do[AppendTo[a, k]; k = 4 k^3 + 3 k, {n, 1, 6}]; a (*Artur Jasinski*)

CROSSREFS

A006266

Sequence in context: A159994 A119181 A152518 this_sequence A144676 A125537 A001424

Adjacent sequences: A145448 A145449 A145450 this_sequence A145452 A145453 A145454

KEYWORD

nonn

AUTHOR

Artur Jasinski (grafix(AT)csl.pl), Oct 10 2008

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 24 19:42 EST 2009. Contains 167435 sequences.


AT&T Labs Research