A229186 Beginning position of n in the decimal expansion of the Champernowne constant.

11, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 1, 16, 18, 20, 22, 24, 26, 28, 30, 15, 34, 2, 38, 40, 42, 44, 46, 48, 50, 17, 37, 56, 3, 60, 62, 64, 66, 68, 70, 19, 39, 59, 78, 4, 82, 84, 86, 88, 90, 21, 41, 61, 81, 100, 5, 104, 106, 108, 110, 23

Offset

0,1

Comments

Ignoring the initial 0 to the left of the decimal point.

Same as A031297 but including the a(0) term.

Links

Eric W. Weisstein, Table of n, a(n) for n = 0..999

Eric Weisstein's World of Mathematics, Champernowne Constant Digits

Eric Weisstein's World of Mathematics, Constant Digit Scanning

Prog

(Python)
from itertools import count, islice
def agen():
    k, chap = 1, ".1"
    for n in count(0):
        target = str(n)
        while chap.find(target) == -1: k += 1; chap += str(k)
        yield chap.find(target)
print(list(islice(agen(), 70))) # Michael S. Branicky, Oct 06 2022

Crossrefs

Cf. A033307 (decimal expansion of the Champernowne constant).

Cf. A072290 (number of digits in the decimal expansion of the Champernowne constant that must be scanned to encounter all n-digit strings).

Cf. A031297 (same sequence but omitting the a(0) term).

Sequence in context: A010197 A010196 A039617 * A214676 A010198 A307245

Adjacent sequences: A229183 A229184 A229185 * A229187 A229188 A229189

Keyword

nonn,base,less

Author

Eric W. Weisstein, Sep 15 2013

Status

approved