cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A074233 #23 Jan 24 2022 09:43:40
%S A074233 0,1,2,3,28,137,210,692,717,933,3138,3213,3416,3467,3538,16068
%N A074233 Numbers whose base-4 and base-5 representations are permutations of the same multiset of digits.
%C A074233 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
%e A074233 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}.
%o A074233 (PARI) isok(m) = vecsort(digits(m, 4)) == vecsort(digits(m, 5)); \\ _Michel Marcus_, Jan 24 2022
%Y A074233 Cf. A007090, A007091, A037423.
%K A074233 base,nonn,fini,full
%O A074233 1,3
%A A074233 _Paul Lusch_, Sep 18 2002
%E A074233 First four terms inserted by _David A. Corneth_, Jan 24 2022