A373304 Decimal digits from Pi selected by stepping forward d+1 places at digit d, i.e., by skipping the next d places.

3, 5, 5, 2, 4, 3, 2, 5, 1, 7, 7, 9, 0, 2, 9, 2, 4, 0, 6, 3, 4, 8, 5, 7, 8, 7, 0, 1, 5, 4, 4, 9, 2, 1, 9, 4, 4, 8, 3, 2, 2, 9, 6, 0, 2, 4, 3, 0, 2, 7, 6, 5, 8, 9, 9, 7, 6, 0, 6, 4, 5, 1, 6, 5, 6, 1, 5, 8, 3, 1, 9, 8, 9, 3, 8, 9, 3, 9, 7, 6, 8, 4, 2, 7, 2, 9, 7, 7, 7, 6, 6, 5, 0, 6, 7, 4, 7, 3, 1, 8

Offset

1,1

Comments

Are the digits uniformly distributed? Are all consecutive digit subsequences uniformly distributed?

Links

Table of n, a(n) for n=1..100.

Formula

a(n) = the (n+a(1)+a(2)+...+a(n-1))-th digit in the decimal expansion of Pi.

Example

The sequence starts with the first digit of the decimal expansion of Pi, which is 3. The next term is the digit 3+1 places after this, namely, 5, and so on.
The digits selected from Pi begin
  Pi = 3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8, 9, 7, 9, 3, 2, 3, 8, 4, ...
       ^           ^                 ^                 ^        ^

Mathematica

a={3}; s=1; For[n=2, n<=100, n++, s+=1+Part[a, n-1]; digits=First[RealDigits[Pi, 10, s]]; AppendTo[a, Part[digits, s]]]; a

Crossrefs

Cf. A000796.

Cf. A373079.

Sequence in context: A077860 A261340 A078063 * A019944 A320477 A110551

Adjacent sequences: A373301 A373302 A373303 * A373305 A373306 A373307

Keyword

nonn,base,cons

Author

Karl Levy, May 31 2024

Status

approved