login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A052362 Indices of records in length of English name of n including spaces and dashes (A052360): n such that k < n => A052360(k) < A052360(n). 8
0, 3, 11, 13, 17, 21, 23, 73, 101, 103, 111, 113, 117, 121, 123, 173, 323, 373, 1101, 1103, 1111, 1113, 1117, 1121, 1123, 1173, 1323, 1373, 3323, 3373, 11373, 13323, 13373, 17373, 21373, 23323, 23373, 73373, 101323, 101373, 103323, 103373, 111373, 113323, 113373, 117373 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
From M. F. Hasler, Aug 12 2020: (Start)
This sequence uses A052360 which counts all characters in the English name of the numbers, including spaces and hyphens, in contrast to A052363 which uses A005589 which only counts the letters. Thus, e.g., "twenty-one" is in this sequence but not in A052363.
It appears that from 1323 on, all terms end in -323 or in -373. After 117(373) these are prefixed by 121, 123, 173, 323, 373 (thousand). Then the next terms is 1'103'323, and after 1'373'373, the next terms are > 3*10^6, then > 11*10^6, etc.
I conjecture that from 103 on all d-digit terms have a smaller (most often but not always (d-1)-digit) term as suffix, and from 173 on they also have an earlier term as prefix. (End)
LINKS
EXAMPLE
From M. F. Hasler, Aug 12 2020: (Start)
The first term is zero, since all other nonnegative integers (thus certainly all those with longer names) are larger than zero.
"One" and "two" are not in the sequence, since "zero" is smaller but has a longer name.
"Three" is again in the sequence since all smaller numbers (0, 1 and 2) have shorter names. And so on. (End)
PROG
(PARI) m=0; for(n=0, 2e5, if(m<A052360(n), m=A052360(n); print1(n", "))) \\ M. F. Hasler, Aug 12 2020
(Python)
from itertools import count, islice
from num2words import num2words as n2w
def f(n): return len(n2w(n).replace(" and", "").replace(chr(44), ""))
def agen():
record = 0
for n in count(0):
value = f(n)
if value > record: yield n; record = value
print(list(islice(agen(), 46))) # Michael S. Branicky, Jul 12 2022
CROSSREFS
Sequence in context: A020635 A175820 A127209 * A001619 A071197 A191067
KEYWORD
nonn,word,nice,easy
AUTHOR
Allan C. Wechsler, Mar 07 2000
EXTENSIONS
Minor edits by Ray Chandler, Jul 22 2009
Name and example edited and more terms by M. F. Hasler, Aug 12 2020
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 4 09:35 EST 2024. Contains 370528 sequences. (Running on oeis4.)