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A089606
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Table T(n,k), n>=1 and k>=1; the k-th row is defined by :partial sums of the sequence 1, a(1), .., a(1), a(2), .., a(2), a(3), ..,a(3), a(4), ... each term repeated k times (with a(i)= T(i,k)).
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2
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1, 2, 1, 4, 2, 1, 8, 3, 2, 1, 16, 5, 3, 2, 1, 32, 7, 4, 3, 2, 1, 64, 10, 6, 4, 3, 2, 1, 128, 13, 8, 5, 4, 3, 2, 1, 256, 18, 10, 7, 5, 4, 3, 2, 1, 512, 23, 13, 9, 6, 5, 4, 3, 2, 1, 1024, 30, 16, 11, 8, 6, 5, 4, 3, 2, 1, 2048, 37, 19, 13, 10, 7, 6, 5, 4, 3, 2, 1
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OFFSET
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1,2
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COMMENTS
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Row k=1 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, ...
Row k=2 : 1, 2, 3, 5, 7, 10, 13, 18, 23, 30, 37, 47, ...
Row k=3 : 1, 2, 3, 4, 6, 8, 10, 13, 16, 19, 23, 27, ...
Row k=4 : 1, 2, 3, 4, 5, 7, 9, 11, 13, 16, 19, 22, ...
Row k=5 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 16, 19, ...
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LINKS
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FORMULA
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MAPLE
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T:= proc(n, k) option remember; `if`(n=1, 1,
T(n-1, k)+T(floor((n+k-2)/k), k))
end:
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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