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 A045736 Smallest positive integer requiring n syllables to pronounce in American English. 3
 1, 7, 11, 27, 77, 111, 127, 177, 777, 1127, 1177, 1777, 7777, 11777, 27777, 77777, 111777, 127777, 177777, 777777, 1127777, 1177777, 1777777, 7777777, 11777777, 27777777, 77777777, 111777777, 127777777, 177777777, 777777777, 1127777777 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Assumes the American usage of billion, trillion, etc. ("short scale"), which makes a difference from a(59) on. See A002810 for the British English version, which in particular includes the additional "and", e.g., in "one hundred and seven".  Therefore the sequences differ from a(6)=111 on, with A002810(6)= 107. - M. F. Hasler, Nov 03 2013 LINKS Robert G. Wilson v, English names for the numbers from 0 to 11159 without spaces or hyphens . FORMULA a(n) = min{ k | A075774(k)=n }. - M. F. Hasler, Nov 03 2013 a(n+11) = a(n)*1000+777, as long as a(n+11) is less than one quadrillion (whatever scale is used). - M. F. Hasler, Nov 03 2013 PROG (PARI) A045736(n)={n>11 || for(k=1, 1e5, A075774(k)==n && return(k)); A045736(n-11*n=(n-1)\11)*1000^n+1000^n\9*7 } \\ This code is valid up to n=58 (short scale) or n=82 (long scale). - M. F. Hasler, Nov 03 2013 CROSSREFS Cf. A002810. Sequence in context: A039287 A045222 A002810 * A158807 A067006 A136020 Adjacent sequences:  A045733 A045734 A045735 * A045737 A045738 A045739 KEYWORD nonn,word AUTHOR STATUS approved

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