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Search: id:A159878
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| A159878 |
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The digits of Pi whose spellings in English contain no i's. |
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+0
1
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| 3, 1, 4, 1, 2, 3, 7, 3, 2, 3, 4, 2, 4, 3, 3, 3, 2, 7, 0, 2, 4, 1, 7, 1, 3, 3, 7, 1, 0, 2, 0, 7, 4, 4, 4, 2, 3, 0, 7, 1, 4, 0, 2, 2, 0, 2, 0, 3, 4, 2, 3, 4, 2, 1, 1, 7, 0, 7, 2, 1, 4, 0, 1, 3, 2, 2, 3, 0, 4, 7, 0, 3, 4, 4, 0, 0, 2, 2, 3, 1, 7, 2, 3, 4, 0, 1, 2, 4, 1, 1, 1, 7, 4, 0, 2, 4, 1, 0, 2, 7, 0, 1, 3, 2, 1
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Blind Pi: The series of digits of Pi A000796 after removal of any 5, 6, 8 or 9 (see A095763, A089589).
The difference of the value of this constant to Pi is 0.000355..., compared to a difference of 0.0012... = A003077 for 22/7.
The only other alpha language that has no numbers 0 to 9 with an i is Albanian.
It is natural to ask "is the constant defined in this way irrational, transcendental?"
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EXAMPLE
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Pi = 3.1415... . The digit 5 or five contains an i in the spelling. So 5 is
not in the sequence.
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MATHEMATICA
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Flatten[ RealDigits[Pi, 10, 174][[1]] /. {5 -> {}, 6 -> {}, 8 -> {}, 9 -> {}}] [From Robert G. Wilson v (rgwv(AT)rgwv.com), May 27 2009]
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PROGRAM
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(PARI) blindpi(n) =
{
default(realprecision, 1000);
local(pi, x);
pi=Vec(Str(Pi*10^99));
default(realprecision, 28);
for(x=1, n,
if(pi[x]=="0"||pi[x]=="1"||pi[x]=="2"||pi[x]=="3"||pi[x]=="4"||pi[x]=="7",
print1(pi[x]", ");
);
);
}
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CROSSREFS
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Sequence in context: A143319 A078011 A010285 this_sequence A030757 A004592 A116992
Adjacent sequences: A159875 A159876 A159877 this_sequence A159879 A159880 A159881
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KEYWORD
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base,word,nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)hotmail.com), Apr 25 2009
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EXTENSIONS
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Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 28 2009
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