login
A373079
Decimal digits of Pi selected by stepping forward d places at digit d or 10 places if d=0.
2
3, 1, 5, 3, 9, 2, 4, 3, 9, 7, 3, 1, 0, 4, 3, 8, 6, 8, 2, 3, 1, 1, 7, 1, 4, 6, 2, 0, 4, 5, 2, 3, 2, 3, 4, 2, 4, 1, 7, 1, 0, 1, 1, 0, 2, 4, 4, 3, 9, 9, 4, 2, 4, 4, 3, 6, 5, 0, 8, 6, 1, 0, 2, 3, 3, 7, 1, 4, 3, 4, 0, 8, 5, 0, 0, 6, 9, 3, 3, 4, 0, 1, 4, 1, 9, 4, 5, 3, 7, 5, 1, 8, 9, 1, 0, 4, 3, 9, 3, 8
OFFSET
1,1
COMMENTS
Are the digits uniformly distributed?
FORMULA
a(n) = the (1 + Sum_{i=1..n-1} a(i) + 10*delta(a(i),0))-th digit in the decimal expansion of Pi, where delta is the Kronecker symbol.
EXAMPLE
The sequence starts with the first digit of the decimal expansion of Pi, which is 3. The next term is the digit 3 places after this, namely, 1, and so on.
The digits selected from Pi begin
Pi = 3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8, 9, ...
^ ^ ^ ^ ^
MATHEMATICA
a={3}; s=1; For[n=2, n<=100, n++, s+=Part[a, n-1]+10KroneckerDelta[Part[a, n-1]]; digits=First[RealDigits[Pi, 10, s]]; AppendTo[a, Part[digits, s]]]; a (* Stefano Spezia, May 31 2024 *)
CROSSREFS
Cf. A000796,
Sequence in context: A318726 A333871 A364034 * A212641 A195835 A077881
KEYWORD
nonn,base,cons
AUTHOR
Karl Levy, May 22 2024
EXTENSIONS
a(25)-a(100) from Stefano Spezia, May 31 2024
STATUS
approved