A143504 Numbers k such that k > first location of string of k in decimal expansion of e.

7, 8, 18, 23, 28, 35, 36, 45, 47, 49, 52, 53, 57, 59, 60, 62, 66, 67, 69, 70, 71, 72, 74, 75, 76, 77, 81, 82, 84, 87, 90, 93, 94, 95, 96, 97, 99, 135, 138, 166, 174, 178, 181, 182, 193, 195, 200, 217, 218, 232, 233, 235, 240, 244, 247, 249, 251, 260, 264, 266

Offset: 1

Author

Leonid Ianoushevitch (leonid163(AT)mail.ru), Oct 24 2008

Keywords

• base
• nonn

Comments

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

Examples

			1 is not a term since it is less than its location in e, 2.
7 is a term since it is greater than its location in e, 1.
18 is a term since it is greater than its location in e, 2.
		

Links

• Michael S. Branicky, Table of n, a(n) for n = 1..10000
• Robert Nemiroff and Jerry Bonnell, The Number e to 1 Million Digits.

Crossrefs

Cf. A001113, A038099, A078197.

Programs

Python

from sympy import E
from itertools import count, islice
digits_of_e = str(E.n(10**5))[1:-1] # raise to 10**6 for b-file
def agen():
    for k in count(1):
        kloc = digits_of_e.find(str(k))
        assert kloc > 0, ("Increase precision", k)
        if k > kloc: yield k
print(list(islice(agen(), 60))) # Michael S. Branicky, Jul 10 2022

Formula

a(n) > A078197(n). - Michael S. Branicky, Jul 10 2022

Extensions

Terms corrected and a(45) and beyond from Michael S. Branicky, Jul 10 2022