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Search: id:A114002
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| A114002 |
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Expansion of x^k(1+x^(k+1))/(1-x^(k+1)). |
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+0 3
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| 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Inverse is A114004. Row sums are A114003.
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FORMULA
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Column k has g.f. x^k(1+x^(k+1))/(1-x^(k+1))
Equals 2*A051731 - I, I = Identity matrix. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 07 2007
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EXAMPLE
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Triangle begins
1;
2,1;
2,0,1;
2,2,0,1;
2,0,0,0,1;
2,2,2,0,0,1;
2,0,0,0,0,0,1;
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CROSSREFS
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Cf. A051731.
Adjacent sequences: A113999 A114000 A114001 this_sequence A114003 A114004 A114005
Sequence in context: A135387 A127442 A115628 this_sequence A114004 A049986 A137289
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Nov 12 2005
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