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Troublemaking Sequence (Posted on 2025-04-15) Difficulty: 3 of 5
The first element is chosen as 1, then the rest of the sequence is determined by a simple rule.
What integer comes next?

Hint: there are two possible answers depending on how one defines a key word in the simple rule.
The title is also a hint.

1, 3, 5, 7, 9, 11, 14, 18, 22, __

See The Solution Submitted by Larry    
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Resolution in the formula | Comment 3 of 4 |
The corresponding sequence in OEIS is not a sequence that counts vowels.  It's a sequence that counts letters from the set {a,e,i,o,u} in the standard english spellings.  There's no controversy since y and w are not in the set.

The description does not make this clear, but the program listed gives it away:

PROG
(Python)
from itertools import accumulate, repeat
from num2words import num2words
A321676_list = list(accumulate(repeat(1, 100), lambda x, _ : x+sum(num2words(x).count(d) for d in 'aeiou'))) # Chai Wah Wu, Dec 17 2018



  Posted by Jer on 2025-04-15 10:45:08
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