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A082429
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a(n) is the cardinality of the smallest subset S1 of S={1,2,3,...,n} such that every element of S is either in S1 or is the sum of two elements of S1.
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0
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1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| a(6)=3 since, for S1={1,2,4}, we have 1=1, 2=2, 3=1+2, 4=4, 5=1+4 and 6=2+4 and no set S1 with fewer than three elements has the required property.
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CROSSREFS
| Sequence in context: A132914 A060646 A103298 * A047744 A163563 A189667
Adjacent sequences: A082426 A082427 A082428 * A082430 A082431 A082432
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KEYWORD
| nonn
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AUTHOR
| John W. Layman (layman(AT)math.vt.edu), Apr 24 2003
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