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A193846 Triangular array:  the fission of ((x+2)^n) by ((x+1)^n). 4
2, 4, 8, 8, 28, 26, 16, 80, 136, 80, 32, 208, 512, 568, 242, 64, 512, 1648, 2672, 2188, 728, 128, 1216, 4832, 10288, 12392, 8020, 2186, 256, 2816, 13312, 35072, 55648, 53216, 28432, 6560, 512, 6400, 35072, 110080, 216512, 273376, 216512, 98416 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

See A193842 for the definition of fission of two sequences of polynomials or triangular arrays.

LINKS

Table of n, a(n) for n=0..43.

EXAMPLE

First six rows:

2

4....8

8....28....26

16...80....136....80

32...208...512....568....242

64...512...1648...2672...2188...728

MATHEMATICA

p[n_, x_] := (x + 2)^n;

q[n_, x_] := (x + 1)^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}]]   (* A193846 *)

TableForm[Table[h[n], {n, 0, z}]]

Flatten[Table[h[n], {n, -1, z}]]  (* A193847 *)

TableForm[Table[Reverse[h[n]/2], {n, 0, z}]]

Flatten[Table[Reverse[h[n]]/2, {n, -1, z}]] (* A193848 *)

TableForm[Table[h[n]/2, {n, 0, z}]]

Flatten[Table[h[n]/2, {n, -1, z}]]  (* A193849 *)

CROSSREFS

Cf. A193842, A193847, A193848.

Sequence in context: A193850 A140119 A273068 * A255908 A341107 A344075

Adjacent sequences:  A193843 A193844 A193845 * A193847 A193848 A193849

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Aug 07 2011

STATUS

approved

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Last modified October 26 05:58 EDT 2021. Contains 348257 sequences. (Running on oeis4.)