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 A080777 a(n), when spelled in English, is the smallest positive integer with exactly n letters. 10
 1, 4, 3, 11, 15, 13, 17, 24, 23, 73, 101, 104, 103, 111, 115, 113, 117, 124, 123, 173, 323, 373, 1104, 1103, 1111, 1115, 1113, 1117, 1124, 1123, 1173, 1323, 1373, 3323, 3373, 11373, 13323, 13373, 17373, 23323, 23373, 73373, 101373, 103323, 103373, 111373 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,2 COMMENTS In this version 101 is written "one hundred one", etc. This uses the conventions that "and" is never used and two-digit numbers are not used before "hundred". The sequence is labeled "finite" because there is no widely accepted naming convention for arbitrarily large numbers. - David Wasserman, Dec 20 2004 LINKS Hans Havermann, Table of n, a(n) for n = 3..758 Hans Havermann, Growth illustration for this sequence EXAMPLE The 3rd term has 5 letters; the smallest positive integer with this number of letters is 3 (three). MATHEMATICA (* Works for a(n) up to 10^k *) k=5; name[n_]:=IntegerName[n, "Words"]; nameLen[n_]:=StringLength[StringReplace[name[n], {" "-> "", "-"-> "", ", "-> ""}]]; max[n_]:=Max[nameLen/@Range[10^(n-1)+1, 10^n]]; max10toK=max/@Range[k]; pos[n_Integer/; n>2]:=Position[Sort[Append[max10toK, n]], n, 1][[1, 1]]-1; a[n_Integer/; n>2&&n<(10^k)+1]:=Module[{l=10^pos[n]}, While[nameLen[l]!=n, l++]; l]; a/@Range[3, 40] (* Ivan N. Ianakiev, Sep 05 2018 *) CROSSREFS Cf. A001166, A052196 (the 'largest' analog of this sequence), A084390. Sequence in context: A316966 A295727 A200073 * A001166 A065337 A257078 Adjacent sequences: A080774 A080775 A080776 * A080778 A080779 A080780 KEYWORD easy,nonn,word,fini AUTHOR Peter Kolbus (peter(AT)kolbusfamily.com), Mar 11 2003 EXTENSIONS Corrected by James Ong (blackshadowshade(AT)yahoo.com.au), Jun 27 2003 More terms from Brian Galebach, Feb 06 2004 Edited by David Wasserman, Dec 20 2004 STATUS approved

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Last modified February 6 16:56 EST 2023. Contains 360110 sequences. (Running on oeis4.)