A358211 Self-locating strings within e: numbers k such that the string k is at position k (after the decimal point) in the decimal digits of e, where 7 is the 0th digit.
1, 8, 215, 374, 614, 849, 4142, 7945, 5964055, 8008913, 7131377227, 8829981707
Offset: 0
Examples
The first two terms 1 and 8 are depicted here:
Position: 0123456789...
Digits of e: 2.7182818284...
.^......^....
1 is the first term because 1 is in position 1 after the decimal point (when starting to count with 0).
8 is the second term because 8 is in position 8 etc.
Programs
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Python
# after Michael S. Branicky in A064810 # First get a file with e digits, e.g. https://www4.baumann.at/downloads/e.txt with open('e.txt', 'r') as f: digits_of_e = f.readline()[2:] def afind(): global digits_of_e for k in range(len(digits_of_e)): s = str(k) if digits_of_e[k:k+len(s)] == s: print(k, end=", ") afind()
Extensions
a(9)-a(12) from Michael S. Branicky, Nov 04 2022