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A117372
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Riordan array (1-3x,x(1-x)).
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2
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1, -3, 1, 0, -4, 1, 0, 3, -5, 1, 0, 0, 7, -6, 1, 0, 0, -3, 12, -7, 1, 0, 0, 0, -10, 18, -8, 1, 0, 0, 0, 3, -22, 25, -9, 1, 0, 0, 0, 0, 13, -40, 33, -10, 1, 0, 0, 0, 0, -3, 35, -65, 42, -11, 1, 0, 0, 0, 0, 0, -16, 75, -98, 52, -12, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Row sums are A117373. Diagonal sums are A117374. Inverse is A117375.
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FORMULA
| Number triangle T(n,k)=(-1)^(n-k)(C(k,n-k)+3*C(k, n-k-1))
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EXAMPLE
| Triangle begins
1,
-3, 1,
0, -4, 1,
0, 3, -5, 1,
0, 0, 7, -6, 1,
0, 0, -3, 12, -7, 1,
0, 0, 0, -10, 18, -8, 1,
0, 0, 0, 3, -22, 25, -9, 1
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CROSSREFS
| Sequence in context: A166407 A159059 A127569 * A127570 A186827 A045406
Adjacent sequences: A117369 A117370 A117371 * A117373 A117374 A117375
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KEYWORD
| easy,sign,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Mar 10 2006
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