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A194008 Mirror of the triangle A194007. 2
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
A194008 is obtained by reversing the rows of the triangle A194007.
LINKS
FORMULA
Write w(n,k) for the triangle at A194007. The triangle at A194008 is then given by w(n,n-k).
EXAMPLE
First six rows:
1
5....2
14...8....3
34...23...13...5
74...55...37...21...8
152..120..89...60...34...13
MATHEMATICA
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 *)
CROSSREFS
Cf. A194007.
Sequence in context: A194048 A158868 A104634 * A060422 A213751 A185781
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Aug 11 2011
STATUS
approved

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Last modified March 19 03:33 EDT 2024. Contains 370952 sequences. (Running on oeis4.)