

A000052


1digit numbers arranged in alphabetical order, then the 2digit numbers arranged in alphabetical order, then the 3digit numbers, etc.


23



8, 5, 4, 9, 1, 7, 6, 3, 2, 0, 18, 80, 88, 85, 84, 89, 81, 87, 86, 83, 82, 11, 15, 50, 58, 55, 54, 59, 51, 57, 56, 53, 52, 40, 48, 45, 44, 49, 41, 47, 46, 43, 42, 14, 19, 90, 98, 95, 94, 99, 91, 97, 96, 93, 92, 17, 70, 78, 75, 74, 79, 71, 77, 76, 73, 72
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OFFSET

1,1


COMMENTS

This sequence uses standard US English names for numbers.  Daniel Forgues, May 11 2016
For example, standard US English writes out the number 101 as "one hundred one", whereas standard UK English writes it out as "one hundred and one" (see Links).  Jon E. Schoenfield, Dec 25 2016
Alphabetical order is with spaces removed/disregarded, else, as a first example, a(1003)=8018 ("eight thousand eighteen") would follow a(1004)=8800 ("eight thousand eight hundred") among others.  Michael S. Branicky, Aug 05 2021


LINKS



EXAMPLE

eight, five, four, nine, one, seven, six, three, two, zero, eighteen, etc.
Examples of spelling convention used for values above 99:
400: "four hundred"
726: "seven hundred twentysix"
1992: "one thousand nine hundred ninetytwo"
2202: "two thousand two hundred two"
101001: "one hundred one thousand one"
726726: "seven hundred twentysix thousand seven hundred twentysix"
101000001: "one hundred one million one"


MAPLE

V:= [[$0..9], [$10..99], [$100..999]]:
seq(op(V[i][sort(map(convert, V[i], english, 'And'),


MATHEMATICA

Flatten@Join[{8, 5, 4, 9, 1, 7, 6, 3, 2, 0}, SortBy[Range[10^#, 10^(# + 1)  1], StringReplace[IntegerName[#, "Words"], ", " > ""] &] & /@ Range[3]] (* Davin Park, Dec 25 2016 *)


PROG

(Python)
from num2words import num2words
def n2w(n):
return num2words(n).replace(" and", "").replace(", ", "").replace(" ", "")
def agen(maxdigits):
for d in range(1, maxdigits+1):
yield from sorted(range(10**(d1)(d==1), 10**d), key=lambda x: n2w(x))


CROSSREFS



KEYWORD

nonn,base,word


AUTHOR



EXTENSIONS



STATUS

approved



