A038100 Numbers k such that k < first location of string of k in decimal expansion of Pi.

0, 2, 3, 6, 7, 8, 10, 11, 12, 13, 16, 17, 18, 19, 20, 21, 22, 24, 25, 27, 28, 29, 30, 31, 34, 36, 37, 39, 40, 42, 44, 45, 47, 48, 49, 52, 54, 55, 56, 57, 60, 61, 63, 66, 67, 68, 70, 72, 73, 76, 77, 80, 85, 87, 90, 91, 96, 100, 101, 102, 103, 104, 106, 107, 108

Offset

1,2

Comments

'Location' starts from the first digit after the decimal point and refers to the first digit of a(n).

Links

Jinyuan Wang, Table of n, a(n) for n = 1..5000

Dave Andersen, The Pi-Search Page

Formula

a(n) < A014777(n). - Michael S. Branicky, Jul 10 2022

Prog

(Python)
from sympy import pi
from itertools import count, islice
digits_of_pi = str(pi.n(10**5))[1:-1]
def agen():
    for k in count(0):
        kloc = digits_of_pi.find(str(k))
        assert kloc > 0, ("Increase precision", k)
        if k < kloc: yield k
print(list(islice(agen(), 65))) # Michael S. Branicky, Jul 10 2022

Crossrefs

Cf. A000796, A014777, A038099.

Sequence in context: A144705 A028733 A028789 * A299407 A028757 A184798

Adjacent sequences: A038097 A038098 A038099 * A038101 A038102 A038103

Keyword

nonn,base

Author

Patrick De Geest, Feb 15 1999

Extensions

Offset changed to 1 by Jinyuan Wang, Sep 04 2021

Status

approved