A231072 Number of words in English spelling of n.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2

Offset

0,22

Comments

From a(101) on it must be made precise that this sequence uses the American style ("one hundred one"), as in A052360, and not the British style ("one hundred and one"). The choice of long or short scale does not make a difference since, e.g., the word "milliard" in long scale use would simply be replaced by "billion" in short scale. However, the use of "thousand [million]" instead, would lead to different results for numbers such that floor(n/10^6) mod 10^3 is zero. - M. F. Hasler, Nov 03 2013

Links

Table of n, a(n) for n=0..85.

Index to OEIS: sequences related to English words for n

Example

From "zero" to "twenty", the numbers are written in one word, so a(0..20)=1. "Twenty-one" is the first term to require 2 words, so a(21)=2.

Prog

(PARI) a(n)=sum(k=7, #n=Vecsmall(English(n)), n[k-3]<65)+1 \\ See A052360 for English(). Only characters 4, ..., length-4 need to be checked for space/hyphen since there is no word with less than 3 letters.

Crossrefs

Cf. A001167, A075774, A052360.

Sequence in context: A063056 A174835 A297036 * A055640 A098378 A160093

Adjacent sequences: A231069 A231070 A231071 * A231073 A231074 A231075

Keyword

nonn,word,easy

Author

M. F. Hasler, Nov 03 2013

Status

approved