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.

A171826 Nonnegative integers that can be made using exactly three threes (3 3's) and the four basic operators {+, -, *, /}.

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%I A171826 #20 Oct 12 2024 01:53:53
%S A171826 0,2,3,4,6,9,12,18,27
%N A171826 Nonnegative integers that can be made using exactly three threes (3 3's) and the four basic operators {+, -, *, /}.
%C A171826 More integers can be made using 3 3's if more operators are allowed (i.e., 1 = 3^(3-3) or 5 = 3! - 3/3). Note that 1 = 3/3 but the sequence requires to use exactly three threes and it's not possible to "get rid" of the third three.
%H A171826 Wikipedia, <a href="http://en.wikipedia.org/wiki/Four_fours">Four Fours</a>
%e A171826 a(1) = 0 = (3-3)*3, a(2) = 2 = 3 - 3/3, a(3) = 3 = 3*3/3,
%e A171826 a(4) = 4 = 3 + 3/3, a(5) = 6 = 3*3 - 3, a(6) = 9 = 3 + 3 + 3,
%e A171826 a(7) = 12 = 3*3 + 3, a(8) = 18 = (3+3)*3, a(9) = 27 = 3*3*3.
%o A171826 (PARI) vecextract([0..27],134484573) \\ Better programs to compute this are available in the related sequences, but they are much longer than this sequence itself. - _M. F. Hasler_, Nov 24 2018
%Y A171826 Cf. A171827, A171828, A171829, A258068, A258069, A258070, A258071 (analog for four 4's, ..., ten 10's).
%Y A171826 Cf. A182002, A258097.
%K A171826 nonn,fini,full
%O A171826 1,2
%A A171826 _Sergio Pimentel_, Dec 19 2009