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A110517
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Riordan array (1,x(1-3x)).
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5
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1, 0, 1, 0, -3, 1, 0, 0, -6, 1, 0, 0, 9, -9, 1, 0, 0, 0, 27, -12, 1, 0, 0, 0, -27, 54, -15, 1, 0, 0, 0, 0, -108, 90, -18, 1, 0, 0, 0, 0, 81, -270, 135, -21, 1, 0, 0, 0, 0, 0, 405, -540, 189, -24, 1, 0, 0, 0, 0, 0, -243, 1215, -945, 252, -27, 1, 0, 0, 0, 0, 0, 0, -1458, 2835, -1512, 324, -30, 1, 0, 0, 0, 0, 0, 0, 729, -5103, 5670, -2268, 405
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| Inverse is Riordan array (1,xc(3x)) [A110518]. Row sums are A106852. Diagonal sums are A106855.
Modulo 2, this sequence becomes A106344 . [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 19 2008]
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FORMULA
| Number triangle T(n, k)=(-3)^(n-k)*binomial(k, n-k)
T(n,k)=A109466(n,k)*3^(n-k). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 26 2008]
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EXAMPLE
| Rows begin
1;
0,1;
0,-3,1;
0,0,-6,1;
0,0,9,-9,1;
0,0,0,27,-12,1;
0,0,0,-27,54,-15,1;
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CROSSREFS
| Sequence in context: A058865 A115090 A112295 * A091925 A034370 A144402
Adjacent sequences: A110514 A110515 A110516 * A110518 A110519 A110520
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KEYWORD
| easy,sign,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jul 24 2005
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