A356024 a(n) is the next higher integer than n whose spelling in US English comes lexicographically later.

2, 200, 12, 6, 6, 10, 10, 9, 10, 12, 12, 20, 20, 16, 16, 20, 20, 19, 20, 21, 22, 200, 200, 26, 26, 200, 200, 29, 200, 31, 32, 200, 200, 36, 36, 200, 200, 39, 200, 41, 42, 60, 60, 46, 46, 60, 60, 49, 60, 51, 52, 60, 60, 56, 56, 60, 60, 59, 60, 61, 62, 200, 200

Offset

1,1

Comments

Alphabetical order is with commas removed, but with spaces included, e.g., 8800 ("eight thousand eight hundred") would precede 8018 ("eight thousand eighteen").

In extending the sequence to large numbers, the "American system" (Weisstein link), also known as the "short scale" (Wikipedia link), is used.

Links

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

Eric Weisstein's World of Mathematics, Large Number

Wikipedia, Names of Large Numbers

Wiktionary, one hundred one (US)

Wiktionary, one hundred and one (UK)

Formula

a(A180301(n)) = A180301(n+1).

Example

a(1) = 2 since "two" is after "one".
a(2) = 200 since "two hundred" is after "two".
a(2202) = 2000000000000 since "two trillion" is after "two thousand two hundred two".

Prog

(Python)
from num2words import num2words
def n2w(n): return num2words(n).replace(" and", "").replace(chr(44), "")
def a(n):
    target, t = n2w(n), n+1
    while n2w(t) <= target: t += 1
    return t
print([a(n) for n in range(1, 64)]) # Michael S. Branicky, Jul 23 2022

Crossrefs

Cf. A180301.

Sequence in context: A089772 A280090 A195742 * A180301 A203773 A349982

Adjacent sequences: A356021 A356022 A356023 * A356025 A356026 A356027

Keyword

nonn,word

Author

Michael S. Branicky, Jul 23 2022

Status

approved