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Search: id:A106823
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| A106823 |
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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
2
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| 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 5, 4, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 5, 6, 6, 6, 6, 5, 4, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
(list; graph; listen)
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OFFSET
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0,14
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REFERENCES
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See A008968 for references.
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EXAMPLE
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Initial rows are:
[1]
[1]
[1]
[0, 1, 1, 1, 1]
[0, 0, 0, 1, 1, 2, 2, 2, 1, 1]
[0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 2, 1, 1]
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 4, 4, 5, 4, 4, 3, 2, 1, 1]
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MAPLE
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f3:=r->mul( (x^i-x^(r+1))/(1-x^i), i = 1..r-3); for r from 1 to 10 do series(f3(r), x, 50); od:
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CROSSREFS
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If the initial zeros in each row are omitted, we get A008968.
Cf. A008967, A008968, A106822.
Adjacent sequences: A106820 A106821 A106822 this_sequence A106824 A106825 A106826
Sequence in context: A058101 A112159 A132980 this_sequence A029446 A029442 A125917
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KEYWORD
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nonn,tabf
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AUTHOR
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njas, May 20 2005
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