A074233 Numbers whose base-4 and base-5 representations are permutations of the same multiset of digits.

0, 1, 2, 3, 28, 137, 210, 692, 717, 933, 3138, 3213, 3416, 3467, 3538, 16068

Offset

1,3

Comments

This sequence is finite and full. Proof: the smallest base-5 number with m digits is 5^(m-1). The largest base-4 number with m digits is 4^m - 1. For m >= 8, 5^(m-1) > 4^m - 1. So any term is <= 4^8 which has been checked. - David A. Corneth, Jan 24 2022

Links

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

Example

692 is represented as 22310 in base 4 and as 10232 in base 5. Each representation is a permutation of the multiset {0,1,2,2,3}.

Prog

(PARI) isok(m) = vecsort(digits(m, 4)) == vecsort(digits(m, 5)); \\ Michel Marcus, Jan 24 2022

Crossrefs

Cf. A007090, A007091, A037423.

Sequence in context: A001094 A052848 A357267 * A354611 A356906 A371115

Adjacent sequences: A074230 A074231 A074232 * A074234 A074235 A074236

Keyword

base,nonn,fini,full

Author

Paul Lusch, Sep 18 2002

Extensions

First four terms inserted by David A. Corneth, Jan 24 2022

Status

approved