A157964 Consider the English number names for numbers from 1 to n, sorted in lexicographic order: the number name for a(n) gives the median in this list.

1, 1, 3, 1, 1, 1, 7, 1, 1, 1, 1, 1, 7, 1, 1, 1, 7, 1, 1, 1, 7, 7, 17, 17, 6, 6, 16, 16, 10, 10, 13, 13, 30, 30, 35, 35, 34, 35, 34, 35, 35, 38, 38, 30, 30, 13, 13, 10, 10, 16, 16, 6, 6, 17, 17, 7, 7, 1, 1, 1, 7, 7, 17, 17, 6, 6, 16, 16, 60, 16, 16, 6, 6, 72, 72, 73, 73, 76, 76, 77, 77, 71

Offset

1,3

Comments

0 <= #{i: 1<=i<=n and ENW(i)<=ENW(a(n))} - #{i: 1<=i<=n and ENW(i)>ENW(a(n))} <= 1, where ENW(n) = number word for n in English.

Links

R. Zumkeller, Table of n, a(n) for n = 1..1000

Wikipedia, Median

Robert G. Wilson v, English names for the numbers from 0 to 11159 without spaces or hyphens

Example

a(7)=7 ->seven: five<four<one<[seven]<six<three<two;
a(8)=1 ->one: eight<five<four<[one]<seven<six<three<two;
a(9)=1 ->one: eight<five<four<nine<[one]<seven<six<three<two.

Crossrefs

A000027, A157943.

Sequence in context: A179701 A276996 A102480 * A140670 A293682 A276651

Adjacent sequences: A157961 A157962 A157963 * A157965 A157966 A157967

Keyword

nonn,word,look

Author

Reinhard Zumkeller, Mar 10 2009

Status

approved