A244008 Nonnegative integers with no repeated letters in their combined English decimal digit names.

0, 1, 2, 4, 5, 6, 8, 16, 25, 26, 46, 48, 52, 60, 61, 62, 64, 84

Offset

1,3

Links

Table of n, a(n) for n=1..18.

Example

The first multi-digit term is 16 since "one" and "six" taken together contain no duplicate letters. Although "one" itself contains no duplicate letters, by definition 11 is not a term since duplicate digits introduce repeated letters.

Prog

(Python)
m = ["zero", "one", "two", "three", "four", "five", "six", "seven", "eight", "nine"]
def nr(w): return len(w) == len(set(w))
afull = [k for k in range(988) if nr("".join(m[int(d)] for d in str(k)))]
print(afull) # Michael S. Branicky, Aug 18 2022
(PARI) is(n)=my(d=apply(k->[25, 9, 40, 64, 26, 7, 4, 64, 37, 64][k+1], digits(n)), t); for(i=1, #d, if(bitand(t, d[i]), return(0)); t=bitor(t, d[i])); t<64 \\ Charles R Greathouse IV, Aug 18 2022

Crossrefs

Subsequence of A010784, A052405, A052419, and A007095.

Cf. A059916.

Sequence in context: A327061 A326913 A326703 * A104704 A169884 A341260

Adjacent sequences: A244005 A244006 A244007 * A244009 A244010 A244011

Keyword

nonn,word,base,fini,full,easy

Author

Rick L. Shepherd, Jun 17 2014

Status

approved