A099300 Number of times the digit 9 appears in the first 10^n digits of Pi after the decimal point.

1, 14, 106, 1014, 9902, 100106, 1000040, 9999521, 100000273, 1000036012, 9999956635, 99999854780

Offset

1,2

References

Alfred S. Posamentier and Ingmar Lehmann, A Biography of the World's Most Mysterious Number, Prometheus Books, Amherst, NY 2004, page 129.

Links

Table of n, a(n) for n=1..12.

Kanada Laboratory, Statistical Distribution Information.

Eric Weisstein's World of Mathematics, Pi Digits.

Example

Pi = 3.1415926535..., so A099294(1) = 1, A099296(1) = 3, and a(1) = 1.

Mathematica

$MaxPrecision = 1100000; dp = Drop[ RealDigits[Pi, 10, 1000010] [[1]], 1]; Table[ Count[ Take[dp, 10^n], 9], {n, 6}]

Prog

(Python) # call with d = 0..8 for A099291..A099299
from sympy import S
def a(n, d=9): return str(S.Pi.n(10**n + 2))[2:-1].count(str(d))
print([a(n) for n in range(1, 7)]) # Michael S. Branicky, Jan 14 2021

Crossrefs

Cf. A000796, A099291, A099292, A099293, A099294.

Cf. A099295, A099296, A099297, A099298, A099299.

Sequence in context: A126509 A200056 A206754 * A038735 A181378 A020327

Adjacent sequences: A099297 A099298 A099299 * A099301 A099302 A099303

Keyword

nonn,base,more

Author

Robert G. Wilson v, Oct 11 2004

Extensions

Name clarified by Michael S. Branicky, Jan 15 2021

Status

approved