%I #41 Jul 20 2021 20:58:24
%S 0,1,2,3,7,11,4,5,17,6,13,27,14,21,22,15,23,8,16,24,25,26,9,18,37,28,
%T 19,29,10,20,31,32,33,34,35,47,12,36,38,39,41,42,57,43,44,30,45,46,77,
%U 48,49,67,51,52,53,71,54,72,127,73,55,74,111,56,75,76,58
%N Nonnegative integers ordered by lowest number value per syllable (in American English) and then, in case of ties, numerically.
%C Uses the convention of omitting a trailing 'and', so 101 is 'one hundred one' rather than 'one hundred and one.'
%e 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.
%e 8, 16, and 24 all have a value per syllable of 8, so they are ordered from smallest to largest in the list.
%e From _Jon E. Schoenfield_, Jun 27 2021: (Start)
%e Table begins:
%e syllable count
%e n a(n) name A075774(a(n)) a(n)/A075774(a(n))
%e -- ---- ------------ -------------- ------------------
%e 1 0 zero 2 0/2 = 0
%e 2 1 one 1 1/1 = 1
%e 3 2 two 1 2/1 = 2
%e 4 3 three 1 3/1 = 3
%e 5 7 seven 2 7/2 = 3.5
%e 6 11 eleven 3 11/3 = 3.666666...
%e 7 4 four 1 4/1 = 4
%e 8 5 five 1 5/1 = 5
%e 9 17 seventeen 3 17/3 = 5.666666...
%e 10 6 six 1 6/1 = 6
%e 11 13 thirteen 2 13/2 = 6.5
%e 12 27 twenty-seven 4 27/4 = 6.75
%e 13 14 fourteen 2 14/2 = 7
%e 14 21 twenty-one 3 21/3 = 7
%e 15 22 twenty-two 3 22/3 = 7.333333...
%e (End)
%o (PARI) \\ issue: nn must be bigger than the last desired term
%o cmpx(x, y) = my(fx = x/A075774(x), fy = y/A075774(y)); if (fx==fy, sign(x-y), sign(fx-fy));
%o lista(nn) = concat(0, Vec(vecsort([1..nn], cmpx, 1))); \\ _Michel Marcus_, Jun 27 2021
%o (Python)
%o def aseq(N): return sorted(range(10*N), key=lambda x: (x/A075774(x), x))[:N]
%o print(aseq(67)) # _Michael S. Branicky_, Jun 27 2021
%Y Cf. A075774.
%K nonn,word
%O 1,3
%A _Jack Zilinskas_, Jun 26 2021