OFFSET
1,1
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
2 + 2x,
6 + 10 x + 4 x^2,
30 + 62 x + 40 x^2 + 8 x^3.
First 5 rows of array:
2 2
6 10 4
30 62 40 8
270 618 484 152 16
4590 11046 9464 3552 576 32
MATHEMATICA
s[n_] := 2^n x; t[n_] := 2x + 1;
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 15 2024
STATUS
approved