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A119505
The Pi-th digit of Pi where the digit value of 0 is interpreted as decimal 10.
6
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
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 nonrepeating and nonterminating.
LINKS
A. Frank and P. Jacqueroux, International contest, (2001) Sequence 26. [From R. J. Mathar, Feb 23 2009]
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))). - R. J. Mathar, Feb 23 2009
EXAMPLE
The digit of Pi in the first position is 3, and the 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}] (* Robert G. Wilson v, 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 A375754
KEYWORD
base,nonn
AUTHOR
Cino Hilliard, May 27 2006
EXTENSIONS
Missing terms a(33), a(55) and a(66) inserted by R. J. Mathar, Feb 23 2009
STATUS
approved