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A194008
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Mirror of the triangle A194007.
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2
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1, 5, 2, 14, 8, 3, 34, 23, 13, 5, 74, 55, 37, 21, 8, 152, 120, 89, 60, 34, 13, 299, 246, 194, 144, 97, 55, 21, 571, 484, 398, 314, 233, 157, 89, 34, 1066, 924, 783, 644, 508, 377, 254, 144, 55, 1956, 1725, 1495, 1267, 1042, 822, 610, 411, 233, 89, 3540
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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Write w(n,k) for the triangle at A194007. The triangle at A194008 is then given by w(n,n-k).
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EXAMPLE
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First six rows:
1
5....2
14...8....3
34...23...13...5
74...55...37...21...8
152..120..89...60...34...13
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MATHEMATICA
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z = 11;
p[n_, x_] := Sum[Fibonacci[k + 1]*x^(n - k), {k, 0, n}];
q[n_, x_] := x*q[n - 1, x] + n + 1; q[0, n_] := 1;
p1[n_, k_] := Coefficient[p[n, x], x^k];
p1[n_, 0] := p[n, x] /. x -> 0;
d[n_, x_] := Sum[p1[n, k]*q[n - 1 - k, x], {k, 0, n - 1}]
h[n_] := CoefficientList[d[n, x], {x}]
TableForm[Table[Reverse[h[n]], {n, 0, z}]]
Flatten[Table[Reverse[h[n]], {n, -1, z}]] (* A194007 *)
TableForm[Table[h[n], {n, 0, z}]]
Flatten[Table[h[n], {n, -1, z}]] (* A194008 *)
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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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