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A074233
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Numbers whose base-4 and base-5 representations are permutations of the same multiset of digits.
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1
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0, 1, 2, 3, 28, 137, 210, 692, 717, 933, 3138, 3213, 3416, 3467, 3538, 16068
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OFFSET
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1,3
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COMMENTS
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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
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LINKS
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Table of n, a(n) for n=1..16.
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EXAMPLE
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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}.
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PROG
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(PARI) isok(m) = vecsort(digits(m, 4)) == vecsort(digits(m, 5)); \\ Michel Marcus, Jan 24 2022
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CROSSREFS
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Cf. A007090, A007091, A037423.
Sequence in context: A191470 A001094 A052848 * A354611 A206592 A126266
Adjacent sequences: A074230 A074231 A074232 * A074234 A074235 A074236
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KEYWORD
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base,nonn,fini,full
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AUTHOR
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Paul Lusch, Sep 18 2002
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EXTENSIONS
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First four terms inserted by David A. Corneth, Jan 24 2022
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STATUS
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approved
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