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A102242 Expansion of pi^2 in golden base (i.e. in irrational base phi=(1+sqrt(5))/2). +0
1
1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0 (list; cons; graph; listen)
OFFSET

0,1

LINKS

J. Borwein and M. Chamberland, A golden example.

D. H. Bailey, A compendium of BBP-type formulas for mathematical constants.

E. Weisstein, BBP type formula (formula 16).

EXAMPLE

Pi^2=10100.01000000100010001010010101010010... in golden base

PROGRAM

(PARI) f=(1+sqrt(5))/2; z=Pi^2; b=0; m=100; for(n=1, m, c=ceil(log(z)/log(1/f)); z=z-1/f^c; b=b+1./10^c; if(n==m, print1(b, ", ")))

CROSSREFS

Sequence in context: A016334 A154271 A087032 this_sequence A005369 A108340 A088917

Adjacent sequences: A102239 A102240 A102241 this_sequence A102243 A102244 A102245

KEYWORD

base,cons,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 18 2005

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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