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A193976
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Mirror of the triangle A193975.
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2
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2, 8, 3, 20, 11, 4, 40, 26, 14, 5, 70, 50, 32, 17, 6, 112, 85, 60, 38, 20, 7, 168, 133, 100, 70, 44, 23, 8, 240, 196, 154, 115, 80, 50, 26, 9, 330, 276, 224, 175, 130, 90, 56, 29, 10, 440, 375, 312, 252, 196, 145, 100, 62, 32, 11, 572, 495, 420, 348, 280, 217
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OFFSET
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0,1
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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 A193975. The triangle at A193976 is then given by w(n,n-k).
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EXAMPLE
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First six rows:
2
8.....3
20....11...4
40....26...14...5
70....50...32...17...6
112...85...60...38...20...7
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MATHEMATICA
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z = 11;
p[0, x_] := 1; p[n_, x_] := x*p[n - 1, x] + n + 1;
q[n_, x_] := p[n, x];
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}]] (* A193975 *)
TableForm[Table[h[n], {n, 0, z}]]
Flatten[Table[h[n], {n, -1, z}]] (* A193976 *)
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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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