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A102242 Expansion of Pi^2 in golden base (i.e., in irrational base phi = (1 + sqrt(5))/2). 0
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; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
J. Borwein and M. Chamberland, A golden example.
EXAMPLE
Pi^2 = 10100.01000000100010001010010101010010... in golden base
MATHEMATICA
RealDigits[Pi^2, GoldenRatio, 120][[1]] (* Harvey P. Dale, Sep 19 2016 *)
PROG
(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: A352678 A321692 A355943 * A005369 A278169 A262693
KEYWORD
base,cons,nonn
AUTHOR
Benoit Cloitre, Feb 18 2005
STATUS
approved

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Last modified March 29 09:44 EDT 2024. Contains 371268 sequences. (Running on oeis4.)