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A117377
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Riordan array (1-4x,x(1-x)).
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3
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1, -4, 1, 0, -5, 1, 0, 4, -6, 1, 0, 0, 9, -7, 1, 0, 0, -4, 15, -8, 1, 0, 0, 0, -13, 22, -9, 1, 0, 0, 0, 4, -28, 30, -10, 1, 0, 0, 0, 0, 17, -50, 39, -11, 1, 0, 0, 0, 0, -4, 45, -80, 49, -12, 1, 0, 0, 0, 0, 0, -21, 95, -119, 60, -13, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Row sums are A117378. Diagonal sums are A117379. Inverse is A117380.
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FORMULA
| Number triangle T(n,k)=(-1)^(n-k)(C(k,n-k)+4*C(k, n-k-1))
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EXAMPLE
| Triangle begins
1,
-4, 1,
0, -5, 1,
0, 4, -6, 1,
0, 0, 9, -7, 1,
0, 0, -4, 15, -8, 1,
0, 0, 0, -13, 22, -9, 1,
0, 0, 0, 4, -28, 30, -10, 1
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CROSSREFS
| Sequence in context: A110146 A126217 A108944 * A046784 A011349 A060196
Adjacent sequences: A117374 A117375 A117376 * A117378 A117379 A117380
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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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