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A045736
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Smallest positive integer requiring n syllables to pronounce in American English.
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3
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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, 1177777777, 1777777777
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listen;
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OFFSET
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1,2
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COMMENTS
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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
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LINKS
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FORMULA
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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
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PROG
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(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
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CROSSREFS
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KEYWORD
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nonn,word
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AUTHOR
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STATUS
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approved
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