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A171826
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Nonnegative integers that can be made using exactly three threes (3 3's) and the four basic operators {+, -, *, /}.
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12
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OFFSET
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1,2
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COMMENTS
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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.
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LINKS
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EXAMPLE
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a(1) = 0 = (3-3)*3, a(2) = 2 = 3 - 3/3, a(3) = 3 = 3*3/3,
a(4) = 4 = 3 + 3/3, a(5) = 6 = 3*3 - 3, a(6) = 9 = 3 + 3 + 3,
a(7) = 12 = 3*3 + 3, a(8) = 18 = (3+3)*3, a(9) = 27 = 3*3*3.
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PROG
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(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
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CROSSREFS
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KEYWORD
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nonn,fini,full
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AUTHOR
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STATUS
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approved
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