A119505 The Pi-th digit of Pi where the digit value of 0 is interpreted as decimal 10.

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

Author

Cino Hilliard, May 27 2006

Keywords

• base
• nonn

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.

Examples

			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.
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..5000
• A. Frank and P. Jacqueroux, International contest, (2001) Sequence 26. [From _R. J. Mathar_, Feb 23 2009]

Programs

Mathematica

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

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]",")))

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

Extensions

Missing terms a(33), a(55) and a(66) inserted by R. J. Mathar, Feb 23 2009