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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

Table of n, a(n) for n=0..104.

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

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: A190236 A190224 A321692 * A005369 A278169 A262693

Adjacent sequences:  A102239 A102240 A102241 * A102243 A102244 A102245

KEYWORD

base,cons,nonn

AUTHOR

Benoit Cloitre, Feb 18 2005

STATUS

approved

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Last modified February 15 22:28 EST 2019. Contains 320138 sequences. (Running on oeis4.)