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Search: id:A124749
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| A124749 |
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Expansion of (1+x*y+x^2*y^2)/(1-x^3*y^3+x^4*y^3). |
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+0
4
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| 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, 1
(list; table; graph; listen)
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OFFSET
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0,35
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COMMENT
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Row sums are A124750. Diagonal sums are A124751. Inverse is A124752.
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FORMULA
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Number triangle T(n,k)=C(floor(k/3),n-k)*(-1)^(n-k)
G.f. of column k is x^k*(1-x)^floor(k/3); - Paul Barry (pbarry(AT)wit.ie), Dec 14 2006
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EXAMPLE
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Triangle begins
1,
0, 1,
0, 0, 1,
0, 0, 0, 1,
0, 0, 0, -1, 1,
0, 0, 0, 0, -1, 1,
0, 0, 0, 0, 0, -1, 1,
0, 0, 0, 0, 0, 0, -2, 1,
0, 0, 0, 0, 0, 0, 1, -2, 1,
0, 0, 0, 0, 0, 0, 0, 1, -2, 1,
0, 0, 0, 0, 0, 0, 0, 0, 1, -3, 1
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CROSSREFS
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Cf. A124744.
Sequence in context: A010109 A056974 A056976 this_sequence A127844 A017877 A095683
Adjacent sequences: A124746 A124747 A124748 this_sequence A124750 A124751 A124752
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KEYWORD
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easy,sign,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Nov 06 2006
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