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Search: id:A106822
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| A106822 |
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Triangle read by rows: g.f. for row n is Product( (x^i-x^(r+1))/(1-x^i), i = 1..r-2). |
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+0
3
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| 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 4, 3, 3, 2, 2, 1
(list; graph; listen)
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OFFSET
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0,12
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REFERENCES
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See A008967 for references.
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EXAMPLE
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Initial rows are:
[1]
[1]
[0, 1, 1, 1]
[0, 0, 0, 1, 1, 2, 1, 1]
[0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1]
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 2, 2, 1, 1]
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MAPLE
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f2:=r->mul( (x^i-x^(r+1))/(1-x^i), i = 1..r-2); for r from 1 to 10 do series(f2(r), x, 50); od:
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CROSSREFS
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If the initial zeros in each row are omitted, we get A008967.
Cf. A008967, A106823.
Sequence in context: A086073 A053622 A016408 this_sequence A064532 A025926 A027355
Adjacent sequences: A106819 A106820 A106821 this_sequence A106823 A106824 A106825
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KEYWORD
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nonn,tabf
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 20 2005
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