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A074233 Numbers whose base-4 and base-5 representations are permutations of the same multiset of digits. 1
0, 1, 2, 3, 28, 137, 210, 692, 717, 933, 3138, 3213, 3416, 3467, 3538, 16068 (list; graph; refs; listen; history; text; internal format)
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: A191470 A001094 A052848 * A354611 A206592 A126266

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

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Last modified August 7 22:11 EDT 2022. Contains 355995 sequences. (Running on oeis4.)