

A227857


Number of numbers whose American English name has no letter in common with that of n.


3



5, 7, 29, 15, 36, 3, 95, 11, 1, 5, 2, 19, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 3, 0, 2, 0, 2, 0, 2, 0, 0, 0, 4, 1, 4, 1, 4, 0, 1, 0, 0, 0, 12, 0, 5, 0, 2, 0, 6, 0, 0, 0, 12, 0, 1, 0, 1, 0, 12, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1
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OFFSET

0,1


COMMENTS

The sequence is well defined and zero for n sufficiently large (> 6.1*10^30 ?) because "million", "billion" etc. have a letter in common with all small numbers except for three, which is letterdisjoint with six. Therefore, 3 is letterdisjoint with six, six million, six billion, six nonillion (10^30) and any nonempty sum of two or more of these. See also example of a(5).


LINKS

Table of n, a(n) for n=0..99.
E. Angelini, Chaîne de noms de nombres
E. Angelini, Chaîne de noms de nombres [Cached copy, with permission]
OEIS Index entries for sequences related to the English name of numbers


EXAMPLE

a(0) = 5 = # {6, 50, 56, 60, 66} because "zero" has no letter in common with: six, fifty, fiftysix, sixty, sixtysix.
a(5) = 3 = # {2, 2000, 2002} because "five" has no letter in common with: two, two thousand, two thousand two. ("thousand" is not considered; "one thousand" is excluded.)
a(3) = 15 = 2^41 because any nonzero sum_{i=0,6,9,30} e_i*10^i with e_i in {0, 6} is "letterdisjoint" with three.


PROG

(PARI) A227857(n, lang=English/*see A052360*/, L=999, o=0)={n==5 && L+=2000; n==3 && return(15)/*can't be computed explicitely*/; n=setminus(Set(Vec(lang(n))), Set([" ", ""])); sum(k=o, L, !setintersect( Set(Vec(lang(k))), n))}


CROSSREFS

Sequence in context: A179305 A307100 A229337 * A266078 A147993 A213901
Adjacent sequences: A227854 A227855 A227856 * A227858 A227859 A227860


KEYWORD

nonn,word


AUTHOR

M. F. Hasler, Nov 04 2013


STATUS

approved



