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

Author

Rick L. Shepherd, Jun 17 2014

Keywords

• nonn
• word
• base
• fini
• full
• easy

Examples

			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.
		

Crossrefs

Subsequence of A010784, A052405, A052419, and A007095.

Cf. A059916.

Programs

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

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