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 A000052 1-digit numbers arranged in alphabetical order, then the 2-digit numbers arranged in alphabetical order, then the 3-digit 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 (list; graph; refs; listen; history; text; internal format)
 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 Table of n, a(n) for n = 1..10000 Wikipedia, 101st United States Congress Wiktionary, one hundred one (US) Wiktionary, one hundred and one (UK) 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 twenty-six" 1992: "one thousand nine hundred ninety-two" 2202: "two thousand two hundred two" 101001: "one hundred one thousand one" 726726: "seven hundred twenty-six thousand seven hundred twenty-six" 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'), output=permutation)]), i=1..3); # Robert Israel, Jun 17 2016 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**(d-1)-(d==1), 10**d), key=lambda x: n2w(x)) print([an for an in agen(2)]) # Michael S. Branicky, Aug 05 2021 CROSSREFS Cf. A001058. Sequence in context: A199956 A254270 A328723 * A072991 A235995 A157414 Adjacent sequences: A000049 A000050 A000051 * A000053 A000054 A000055 KEYWORD nonn,base,word AUTHOR N. J. A. Sloane EXTENSIONS Corrected by Davin Park, Dec 25 2016 STATUS approved

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Last modified October 4 10:03 EDT 2023. Contains 365874 sequences. (Running on oeis4.)