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A193956
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Mirror of the triangle A193955.
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2
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1, 4, 1, 13, 5, 1, 45, 23, 9, 2, 120, 71, 36, 14, 3, 300, 196, 116, 59, 23, 5, 692, 484, 316, 187, 95, 37, 8, 1524, 1121, 784, 512, 303, 154, 60, 13, 3225, 2465, 1813, 1268, 828, 490, 249, 97, 21, 6625, 5219, 3989, 2934, 2052, 1340, 793, 403, 157, 34, 13280
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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 A193955. The triangle at A193955 is then given by w(n,n-k).
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EXAMPLE
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First six rows:
1
4.....1
13....5....1
45....23...9....2
120...71...36...14..3
300...192..116..59..23..5
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MATHEMATICA
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z = 12;
p[n_, x_] := Sum[Fibonacci[k + 1]*x^(n - k), {k, 0, n}];
q[n_, x_] := Sum[((k + 1)^2)*x^(n - k), {k, 0, n}] ;
t[n_, k_] := Coefficient[p[n, x], x^k]; t[n_, 0] := p[n, x] /. x -> 0;
w[n_, x_] := Sum[t[n, k]*q[n + 1 - k, x], {k, 0, n}]; w[-1, x_] := 1
g[n_] := CoefficientList[w[n, x], {x}]
TableForm[Table[Reverse[g[n]], {n, -1, z}]]
Flatten[Table[Reverse[g[n]], {n, -1, z}]] (* A193955 *)
TableForm[Table[g[n], {n, -1, z}]]
Flatten[Table[g[n], {n, -1, z}]] (* A193956 *)
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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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