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Search: id:A123878
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| A123878 |
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Product of signed and unsigned Morgan Voyce triangles. |
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+0
3
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| 1, 0, 1, -1, 0, 1, -1, -3, 0, 1, 0, -3, -5, 0, 1, 1, 3, -5, -7, 0, 1, 1, 9, 10, -7, -9, 0, 1, 0, 5, 25, 21, -9, -11, 0, 1, -1, -9, 5, 49, 36, -11, -13, 0, 1, -1, -18, -50, -7, 81, 55, -13, -15, 0, 1, 0, -7, -70, -147, -39
(list; table; graph; listen)
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OFFSET
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0,8
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COMMENT
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Inverse is A123880. Row sums are A123879.
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FORMULA
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Riordan array ((1-x)/(1-x+x^2), x(1-x)^2/(1-x+x^2)^2); Number triangle T(n,k)=sum{j=0..n, C(n+j,2j)C(j+k,2k)*(-1)^(j-k)}.
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EXAMPLE
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Number triangle begins
1,
0, 1,
-1, 0, 1,
-1, -3, 0, 1,
0, -3, -5, 0, 1,
1, 3, -5, -7, 0, 1,
1, 9, 10, -7, -9, 0, 1
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CROSSREFS
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Cf. A085478.
Sequence in context: A053385 A035640 A079327 this_sequence A108197 A049769 A117179
Adjacent sequences: A123875 A123876 A123877 this_sequence A123879 A123880 A123881
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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), Oct 16 2006
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