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A102243
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Expansion of pi in golden base (i.e. in irrational base phi=(1+sqrt(5))/2).
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1
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1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0
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OFFSET
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2,1
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LINKS
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Table of n, a(n) for n=2..106.
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EXAMPLE
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Pi=phi^2+1/phi^2+1/phi^5+1/phi^7+... thus pi=100.0100101010010001010101000001010... in golden base
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MATHEMATICA
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RealDigits[Pi, GoldenRatio, 111][[1]] [From Robert G. Wilson v, Feb 26 2010]
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PROG
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(PARI) f=(1+sqrt(5))/2; z=Pi; 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, ", ")))
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CROSSREFS
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Sequence in context: A015777 A014017 A121262 * A173859 A202108 A104108
Adjacent sequences: A102240 A102241 A102242 * A102244 A102245 A102246
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KEYWORD
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base,cons,nonn
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AUTHOR
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Benoit Cloitre, Feb 18 2005
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EXTENSIONS
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Offset corrected by R. J. Mathar, Feb 05 2009
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STATUS
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approved
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