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A178535
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Matrix inverse of A178534.
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3
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1, -2, 1, -1, -1, 1, 0, -1, -1, 1, -1, -1, 0, -1, 1, 1, 0, -2, 0, -1, 1, -1, -1, 0, -1, 0, -1, 1, 0, 0, 0, -1, -1, 0, -1, 1, 0, 0, -1, -1, 0, -1, 0, -1, 1, 1, 0, -1, 1, -2, 0, -1, 0, -1, 1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1, 0, 1, 1, -1, 0, -1, -1, 0, -1, 0, -1, 1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 1
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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COMMENTS
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Except for first term row sums equal a signed version of A023022.
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LINKS
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EXAMPLE
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Table begins:
1
-2 1
-1 -1 1
0 -1 -1 1
-1 -1 0 -1 1
1 0 -2 0 -1 1
-1 -1 0 -1 0 -1 1
0 0 0 -1 -1 0 -1 1
0 0 -1 -1 0 -1 0 -1 1
1 0 -1 1 -2 0 -1 0 -1 1
-1 -1 0 -1 0 -1 0 -1 0 -1 1
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MAPLE
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option remember;
a := 0 ;
if n = l then
a := 1 ;
end if;
for k from l to n-1 do
a := a-A178534(n, k)*procname(k, l) ;
end do:
end proc:
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MATHEMATICA
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nmax = 13;
T[n_, 1] := Fibonacci[n+1];
T[n_, k_] := T[n, k] = If[k > n, 0, Sum[T[n-i, k-1], {i, 1, k-1}] - Sum[T[n-i, k], {i, 1, k-1}]];
A178535 = Inverse[Array[T, {nmax, nmax}]];
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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