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A110797
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a(0) = 1, a(1) = 2; then all the products generated by these numbers, then the next number 3 and so on.
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3
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1, 2, 3, 6, 4, 8, 12, 24, 5, 10, 15, 20, 30, 40, 60, 120, 6, 12, 18, 24, 30, 36, 48, 60, 72, 90, 120, 144, 180, 240, 360, 720, 7, 14, 21, 28, 35, 42, 42, 56, 70, 84, 84, 105, 126, 140, 168, 168, 210, 210, 252, 280, 336, 420, 420, 504, 630, 840, 840, 1008, 1260, 1680
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OFFSET
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0,2
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COMMENTS
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a(2^n) = n+2.
Differs from A083872 starting at a(16)=6.
"All the products generated by these numbers" means "the product of the most recently added singleton with each of the previous terms, sorted by size." - Joel B. Lewis, Nov 15 2006
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LINKS
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MATHEMATICA
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a = {1, 2}; Do[a = Join[a, Sort[n*a]], {n, 3, 7}]; a (* Ivan Neretin, May 09 2015 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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