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

1,3

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

Table of n, a(n) for n=1..16.

Jeff Miller, A Collection of Word Oddities and Trivia

Prog

(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

Crossrefs

Sequence in context: A216163 A371182 A093080 * A099747 A249053 A082851

Adjacent sequences: A059913 A059914 A059915 * A059917 A059918 A059919

Keyword

fini,full,nonn,word

Author

Rodolfo Kurchan, Mar 11 2001

Extensions

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

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

Status

approved