A164043 Numbers divisible by the number of syllables in their (American) English name.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 14, 16, 18, 20, 21, 24, 30, 33, 36, 39, 40, 42, 45, 48, 50, 51, 54, 60, 63, 66, 69, 72, 76, 80, 81, 84, 90, 93, 96, 99, 104, 108, 112, 115, 120, 126, 130, 132, 138, 140, 144, 147, 150, 156, 160, 162, 168, 175, 180, 186, 190, 192, 198

Offset

1,2

Comments

The name has no extra "and" syllables, as in 104 being in this sequence because "one hundred four" has 4 syllables (which divides 104) rather than "one hundred and four" which has 5 syllables.

Links

Table of n, a(n) for n=1..63.

Index to OEIS: sequences related to English words for n

Formula

{k such that A075774(k)|k}.

Example

a(15) = 21 because "twenty-one" has 3 syllables, and 3*7 = 21.

Prog

(Python) # uses function in A075774
def ok(n): return n and n%A075774(n) == 0
print([k for k in range(200) if ok(k)]) # Michael S. Branicky, May 27 2024

Crossrefs

Cf. A075774, A045736, A002810 (British variant), A163648.

Sequence in context: A068090 A172121 A094222 * A172248 A082415 A005236

Adjacent sequences: A164040 A164041 A164042 * A164044 A164045 A164046

Keyword

easy,nonn,word

Author

Jonathan Vos Post, Aug 08 2009

Extensions

84 inserted and more terms from Michael S. Branicky, May 27 2024

Status

approved