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A064065
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n-th step is to add a(n) to each previous number a(k) (excluding itself, i.e., k <n) to produce n more terms of the sequence, starting with a(0)=0, a(1)=1.
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3
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0, 1, 1, 1, 2, 1, 2, 2, 2, 3, 3, 3, 1, 2, 2, 2, 3, 2, 3, 3, 3, 4, 3, 2, 3, 3, 3, 4, 3, 4, 2, 3, 3, 3, 4, 3, 4, 4, 3, 4, 4, 4, 5, 4, 5, 5, 5, 3, 4, 4, 4, 5, 4, 5, 5, 5, 6, 3, 4, 4, 4, 5, 4, 5, 5, 5, 6, 6, 1, 2, 2, 2, 3, 2, 3, 3, 3, 4, 4, 4, 2, 3, 3, 3, 4, 3, 4, 4, 4, 5, 5, 5, 3, 2, 3, 3, 3, 4, 3, 4, 4, 4, 5, 5, 5
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OFFSET
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0,5
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COMMENTS
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Each positive number appears an infinite number of times: e.g., a(k)=1 whenever k-1 is in A006894.
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LINKS
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EXAMPLE
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Start with (0,1). So after initial step have (0, *1*, 0+1 = 1), then (0, 1, *1*, 0+1 = 1, 1+1 = 2), then (0, 1, 1, *1*, 2, 0+1 = 1, 1+1 = 2, 1+1 = 2), then (0, 1, 1, 1, *2*, 1, 2, 2, 0+2 = 2, 1+2 = 3, 1+2 = 3, 1+2 = 3), etc.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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