

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
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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

Table of n, a(n) for n=1..32.
Robert G. Wilson v, English names for the numbers from 0 to 11159 without spaces or hyphens.
Index to OEIS: sequences related to English words for n


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(n11*n=(n1)\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 A338929 A067006
Adjacent sequences: A045733 A045734 A045735 * A045737 A045738 A045739


KEYWORD

nonn,word


AUTHOR

Brian Galebach


STATUS

approved



