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

Author

Jonathan Vos Post, Aug 08 2009

Keywords

• easy
• nonn
• word

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.

Examples

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

Links

• Index to OEIS: sequences related to English words for n

Crossrefs

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

Programs

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

Formula

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

Extensions

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