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Search: id:A124377
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| A124377 |
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Riordan array (1/(1-x-x^2),x/(1+x)). |
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+0
1
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| 1, 1, 1, 2, 0, 1, 3, 2, -1, 1, 5, 1, 3, -2, 1, 8, 4, -2, 5, -3, 1, 13, 4, 6, -7, 8, -4, 1, 21, 9, -2, 13, -15, 12, -5, 1, 34, 12, 11, -15, 28, -27, 17, -6, 1, 55, 22, 1, 26, -43, 55, -44, 23, -7, 1, 89, 33, 21
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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First column is F(n+1). Second column is A008346. Row sums are F(n+2). Diagonal sums are A094966(n+1). Product of A007318 and A124377 is the Riordan array ((1-x)/(1-3x+x^2),x), the sequence array for F(2n+1).
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FORMULA
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Number triangle T(n,k)=sum{j=0..n-k, C(j-k,n-k-j)}*[k<=n]
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EXAMPLE
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Triangle begins
1,
1, 1,
2, 0, 1,
3, 2, -1, 1,
5, 1, 3, -2, 1,
8, 4, -2, 5, -3, 1,
13, 4, 6, -7, 8, -4, 1,
21, 9, -2, 13, -15, 12, -5, 1
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CROSSREFS
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Adjacent sequences: A124374 A124375 A124376 this_sequence A124378 A124379 A124380
Sequence in context: A114912 A029274 A079219 this_sequence A022827 A091889 A067591
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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 29 2006
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