OFFSET
1,3
COMMENTS
Uses the convention of omitting a trailing 'and', so 101 is 'one hundred one' rather than 'one hundred and one.'
EXAMPLE
17 has a value per syllable of 17/3 (sev-en-teen), which is more than 5's value of 5 but less than 6's value of 6.
8, 16, and 24 all have a value per syllable of 8, so they are ordered from smallest to largest in the list.
From Jon E. Schoenfield, Jun 27 2021: (Start)
Table begins:
syllable count
-- ---- ------------ -------------- ------------------
1 0 zero 2 0/2 = 0
2 1 one 1 1/1 = 1
3 2 two 1 2/1 = 2
4 3 three 1 3/1 = 3
5 7 seven 2 7/2 = 3.5
6 11 eleven 3 11/3 = 3.666666...
7 4 four 1 4/1 = 4
8 5 five 1 5/1 = 5
9 17 seventeen 3 17/3 = 5.666666...
10 6 six 1 6/1 = 6
11 13 thirteen 2 13/2 = 6.5
12 27 twenty-seven 4 27/4 = 6.75
13 14 fourteen 2 14/2 = 7
14 21 twenty-one 3 21/3 = 7
15 22 twenty-two 3 22/3 = 7.333333...
(End)
PROG
(PARI) \\ issue: nn must be bigger than the last desired term
lista(nn) = concat(0, Vec(vecsort([1..nn], cmpx, 1))); \\ Michel Marcus, Jun 27 2021
(Python)
def aseq(N): return sorted(range(10*N), key=lambda x: (x/A075774(x), x))[:N]
print(aseq(67)) # Michael S. Branicky, Jun 27 2021
CROSSREFS
KEYWORD
nonn,word
AUTHOR
Jack Zilinskas, Jun 26 2021
STATUS
approved