A059916 Nonnegative integers that when written out in full in English have no repeated letter.

0, 1, 2, 4, 5, 6, 8, 10, 40, 46, 60, 61, 64, 80, 84, 5000

Offset: 1

Author

Rodolfo Kurchan, Mar 11 2001

Keywords

• fini
• full
• nonn
• word

Comments

If negative numbers are allowed then there are two more terms, namely -40 and -2. - Paul Duckett, Jun 05 2022

References

• GCHQ, The GCHQ Puzzle Book, Penguin, 2016. See page 70.

Links

• Jeff Miller, A Collection of Word Oddities and Trivia

Programs

Python

from num2words import num2words as n2w
def letters(n):
    return "".join(c for c in n2w(n).replace(" and", "") if c.isalpha())
def ok(n):
    w = letters(n)
    return len(w) == len(set(w))
print([k for k in range(5001) if ok(k)]) # Michael S. Branicky, May 04 2022

Extensions

More terms from George Russell (ger(AT)tzi.de), Nov 10 2004

Edited by N. J. A. Sloane, May 29 2006