A271108 a(n) is the number of syllables pronounced in reading the sequence up to a(n-1) in American English.

0, 2, 3, 4, 5, 6, 7, 9, 10, 11, 14, 16, 18, 20, 22, 25, 28, 31, 34, 37, 41, 44, 47, 51, 54, 57, 61, 64, 67, 71, 75, 79, 83, 86, 89, 92, 95, 98, 101, 105, 109, 113, 118, 123, 129, 135, 141, 147, 154, 160, 165, 171, 178, 185, 191, 197, 204, 208, 212, 216, 221, 227

Offset: 0

Author

Cody M. Haderlie, Mar 30 2016

Keywords

• nonn
• word

Comments

For terms a(n>100), the American English pronunciation of the terms are used; e.g., "four hundred fifty", not "four hundred and fifty"; for terms a(n>999999999), short scale is used.

Links

• Wikipedia, Long and short scales

Crossrefs

Cf. A075774.

Programs

Python

# uses function in A075774
from itertools import islice
def agen(): # generator of terms
    an = 0
    while True:
        yield an
        an += A075774(an)
print(list(islice(agen(), 62))) # Michael S. Branicky, May 27 2024

Formula

a(0) = 0, a(n) = a(n-1) + S(n), where S(n) is the number of syllables in n.

a(n) = a(n-1) + A075774(n).

Extensions

More terms from Michael S. Branicky, May 27 2024