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A110314
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Inverse of number triangle related to Fibonacci numbers.
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1
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1, -1, 1, -2, -2, 1, 0, -6, -3, 1, 0, 0, -12, -4, 1, 0, 0, 0, -20, -5, 1, 0, 0, 0, 0, -30, -6, 1, 0, 0, 0, 0, 0, -42, -7, 1, 0, 0, 0, 0, 0, 0, -56, -8, 1, 0, 0, 0, 0, 0, 0, 0, -72, -9, 1, 0, 0, 0, 0, 0, 0, 0, 0, -90, -10, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -110, -11, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -132, -12, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Row sums are 1-n^2 with g.f. (1-3x)/(1-x)^3. Diagonal sums are A110315. Inverse of A039948.
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FORMULA
| T(n, k)=if(n=k, 1, if(n-k=1, -binomial(n, 1), if(n-k=2, -2*binomial(n, 2), 0)))
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EXAMPLE
| Rows begin
1;
-1,1;
-2,-2,1;
0,-6,-3,1;
0,0,-12,-4,1;
0,0,0,-20,-5,1;
0,0,0,0,-30,-6,1;
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CROSSREFS
| Sequence in context: A189233 A065066 A064045 * A152882 A130167 A084938
Adjacent sequences: A110311 A110312 A110313 * A110315 A110316 A110317
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KEYWORD
| easy,sign,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jul 19 2005
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