A180961 -id:A180961 - cp's OEIS frontend

A075774 Number of syllables in n in American English.

2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4

Offset: 0

Ethan B. Trewhitt, Oct 09 2002

Uses the convention of omitting a trailing 'and', so 101 is 'one hundred one' rather than 'one hundred and one.' - Eric W. Weisstein, May 11 2006
From Michael S. Branicky, May 28 2024: (Start)
The only numbers with a(n) = 1 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12.
The only numbers with a(n) = 2 are 7, 13, 14, 15, 16, 18, 19, 20, 30, 40, 50, 60, 80, 90.
Those with a(n) = 3 and 4 are in A372807 and A180961, respectively. (End)

			a(76)=4 because seventy-six is split sev.en.ty.six, or four syllables.

Charles R Greathouse IV, Table of n, a(n) for n = 0..10000
Eric Weisstein's World of Mathematics, Number

Cf. A005589, A052360, A180961, A372807.

A075774(n, t=[10^9, 2, 10^6, 2, 1000, 2, 100, 2])={ n>99 && forstep( i=1, #t, 2, nA075774(n[1])+t[i+1]+if( n[2], A075774( n[2] )))); if( n<20, 1+!!setsearch(Set([0,7,13,14,15,16,18,19]),n) + 2*!!setsearch(Set([11,17]),n), 2+(n\10==7) + if(n%10, A075774(n%10)))}  \\ The "Set()" is not required in PARI v.2.6+ but we put it for downward compatibility. - M. F. Hasler, Nov 03 2013

def A075774(n):
    t = [(10**i, 2) for i in [12, 9, 6, 3, 2]]
    if n > 99:
        for ti, sti in t:
            if n >= ti:
                q, r = divmod(n, ti)
                return A075774(q) + sti + (A075774(r) if r else 0)
    if n < 20:
        return 1 + (n in {0, 7, 13, 14, 15, 16, 18, 19}) + 2*(n in {11, 17})
    else: return 2 + (n//10==7) + (A075774(n%10) if n%10 else 0)
print([A075774(n) for n in range(105)]) # Michael S. Branicky, Jun 27 2021 after M. F. Hasler

More terms from Eric W. Weisstein, May 11 2006

A372807 Numbers whose American English name has exactly three syllables.

Original entry on oeis.org

11, 17, 21, 22, 23, 24, 25, 26, 28, 29, 31, 32, 33, 34, 35, 36, 38, 39, 41, 42, 43, 44, 45, 46, 48, 49, 51, 52, 53, 54, 55, 56, 58, 59, 61, 62, 63, 64, 65, 66, 68, 69, 70, 81, 82, 83, 84, 85, 86, 88, 89, 91, 92, 93, 94, 95, 96, 98, 99, 100, 200, 300, 400, 500, 600, 800, 900

Offset: 1

Marc Groz, May 13 2024

There are 107 terms, considering all terms up to 10^66 using English names of large numbers and various conventional extensions thereof (see Wikipedia link), since quadrillion, quintillion, etc. each have three or more syllables themselves. Terms like "one googol" (or possibly "a googol"), "two googol," ..., "twelve googol" are unconventional, hence disallowed. - Michael S. Branicky, May 28 2024

			a(2) = 17 is the second number whose name in American English has exactly three syllables: "seventeen".

Michael S. Branicky, Table of n, a(n) for n = 1..107
Wikipedia, Names of Large Numbers

Cf. A075774, A180961.

# uses function in A075774
print([k for k in range(501) if A075774(k) == 3]) # Michael S. Branicky, May 27 2024

A075774(a(n)) = 3. - Michael S. Branicky, May 27 2024

cp's OEIS Frontend

A075774 Number of syllables in n in American English.

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