OFFSET
0,1
FORMULA
EXAMPLE
First six rows:
2
5.....3
13....7....4
28....17...9....5
58....35...21...11...6
114...70...42...25...13...7
MATHEMATICA
z = 11;
p[n_, x_] := x*p[n - 1, x] + n + 1; p[0, n_] := 1;
q[n_, x_] := Sum[Fibonacci[k + 1]*x^(n - k), {k, 0, n}];
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}]] (* A194009 *)
TableForm[Table[h[n], {n, 0, z}]]
Flatten[Table[h[n], {n, -1, z}]] (* A194010 *)
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Aug 11 2011
STATUS
approved