OFFSET
1,4
COMMENTS
See A374848 for the definition of obverse convolution and a guide to related sequences and arrays.
EXAMPLE
First 3 polynomials in s(x)**t(x) are
1 + x,
1 + 3 x + 2 x^2,
1 + 8 x + 17 x^2 + 10 x^3.
First 5 rows of array:
1 1
1 3 2
1 8 17 10
1 18 97 180 100
1 35 4034 1829 3160 1700
MATHEMATICA
s[n_] := n^2 x; t[n_] := 1 + x;
u[n_] := Product[s[k] + t[n - k], {k, 0, n}]
Table[Expand[u[n]], {n, 0, 10}]
Column[Table[CoefficientList[Expand[u[n]], x], {n, 0, 10}]] (* array *)
Flatten[Table[CoefficientList[Expand[u[n]], x], {n, 0, 10}]] (* sequence *)
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Clark Kimberling, Sep 11 2024
STATUS
approved