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A110797
a(0) = 1, a(1) = 2; then all the products generated by these numbers, then the next number 3 and so on.
3
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
OFFSET
0,2
COMMENTS
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
LINKS
MATHEMATICA
a = {1, 2}; Do[a = Join[a, Sort[n*a]], {n, 3, 7}]; a (* Ivan Neretin, May 09 2015 *)
CROSSREFS
Sequence in context: A212486 A127562 A096113 * A083872 A121663 A096112
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Aug 13 2005
EXTENSIONS
Extended by Ray Chandler, Aug 23 2005
STATUS
approved