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A119505 The Pi-th digit of Pi where the digit value of 0 is interpreted as decimal 10. 5
4, 3, 1, 3, 5, 5, 1, 9, 5, 4, 5, 6, 5, 2, 5, 4, 1, 4, 6, 1, 9, 1, 9, 1, 4, 4, 6, 4, 1, 2, 5, 5, 3, 1, 6, 6, 1, 3, 5, 2, 3, 9, 5, 4, 5, 5, 4, 2, 5, 3, 3, 5, 6, 1, 3, 5, 2, 1, 5, 1, 1, 5, 5, 1, 4, 3, 2, 6, 3, 9, 1, 3, 9, 1, 6, 9, 1, 3, 6, 5, 5, 6, 9, 1, 6, 3, 4, 1, 6, 1, 5, 4, 1, 1, 3, 3, 2, 3, 9, 2, 5, 6, 1, 3, 1 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

The numbers formed in this sequence are 1,2,3,4,5,6,9. Conjecture:The terms of this sequence are non-repeating and non terminating.

LINKS

A. Frank and P. Jacqueroux, International contest, (2001) Sequence 26. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 23 2009]

A. Frank & P. Jacqueroux, International Contest, 2001. Item 26

FORMULA

Let the i-th digit of Pi be the digit of pi in the i-th position. Then the Pi-th digit of Pi is the digit of Pi in the position corresponding to the value of the i-th digit.

a(n) = A000796(A010889(9+A000796(n))). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 23 2009]

EXAMPLE

The digit of Pi in the first position 3 and digit of Pi in the third position

is 4, the first term in the table.

MATHEMATICA

id = RealDigits[Pi, 10, 105][[1]]; id[[0]] = 3; Table[id[[id[[n]] ]], {n, 105}] [From Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 17 2009]

PROG

(PARI) g(n)=a=Vec(Str(Pi*10^9990)); for(x=1, n, v=eval(a[x]); if(v==0, print1(a[v+10]", "), print1(a[v]", ")))

CROSSREFS

Sequence in context: A010306 A197700 A006467 * A201518 A168616 A130806

Adjacent sequences:  A119502 A119503 A119504 * A119506 A119507 A119508

KEYWORD

base,nonn

AUTHOR

Cino Hilliard (hillcino368(AT)gmail.com), May 27 2006

EXTENSIONS

Inserted the missing a(33), a(55) and a(66). R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 23 2009

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Last modified February 12 18:43 EST 2012. Contains 205432 sequences.