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Search: id:A085143
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| A085143 |
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Triangle table from number wall of reversion of Fibonacci numbers. |
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+0
1
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| 1, -1, -1, -1, -1, -1, 1, 0, 2, 1, 1, -2, 4, 3, 1, -1, 3, -11, -5, -5, -1, -1, -1, -34, 10, -20, -8, -1, 1, 11, 106, -116, 96, 44, 13, 1, 1, 15, 368, -328, 716, 86, 125, 21, 1, -1, 13, -1324, -1344, -5634, 1866, -1063, -316, -34, -1, -1, 77, -4811, -17235
(list; table; graph; listen)
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OFFSET
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1,9
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FORMULA
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T(n, k)=det(a(i+j-1+k-n)_{i, j=1..n}) where a(n)=A007440(n).
T(n, k)=(-1)^[(n+k-1)/2]*T(k-1, n-1) if 1<=k<=n.
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EXAMPLE
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1; -1,-1; -1,-1,-1; 1,0,2,1; 1,-2,4,3,1; -1,3,-11,-5,-5,-1; ...
T(4,2)=0 since det([0,0,1,-1; 0,1,-1,0; 1,-1,0,2; -1,0,2,-3])=0.
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PROGRAM
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(PARI) {a(n)=polcoeff((-1-x+sqrt(1+2*x+5*x^2+x^2*O(x^n)))/(2*x), n)}{T(n, k)=matdet(matrix(n, n, i, j, a(i+j-1+k-n)))}
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CROSSREFS
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Cf. A007440.
Sequence in context: A157905 A027113 A096470 this_sequence A026120 A108746 A119558
Adjacent sequences: A085140 A085141 A085142 this_sequence A085144 A085145 A085146
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KEYWORD
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sign,tabl
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AUTHOR
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Michael Somos, Jun 19 2003
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