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A207630 Triangle of coefficients of polynomials v(n,x) jointly generated with A207629; see the Formula section. 4
1, 3, 1, 6, 3, 12, 9, 1, 24, 24, 5, 48, 60, 19, 1, 96, 144, 62, 7, 192, 336, 184, 33, 1, 384, 768, 512, 128, 9, 768, 1728, 1360, 440, 51, 1, 1536, 3840, 3488, 1392, 230, 11, 3072, 8448, 8704, 4144, 900, 73, 1, 6144, 18432, 21248, 11776, 3192, 376, 13 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..55.

FORMULA

u(n,x)=u(n-1,x)+v(n-1,x),

v(n,x)=(x+1)*u(n-1,x)+v(n-1,x)+1,

where u(1,x)=1, v(1,x)=1.

EXAMPLE

First five rows:

1

3....1

6....3

12...9....1

24...24...5

MATHEMATICA

u[1, x_] := 1; v[1, x_] := 1; z = 16;

u[n_, x_] := u[n - 1, x] + v[n - 1, x]

v[n_, x_] := (x + 1)*u[n - 1, x] + v[n - 1, x] + 1

Table[Factor[u[n, x]], {n, 1, z}]

Table[Factor[v[n, x]], {n, 1, z}]

cu = Table[CoefficientList[u[n, x], x], {n, 1, z}];

TableForm[cu]

Flatten[%]  (* A207629 *)

Table[Expand[v[n, x]], {n, 1, z}]

cv = Table[CoefficientList[v[n, x], x], {n, 1, z}];

TableForm[cv]

Flatten[%]  (* A207630 *)

CROSSREFS

Cf. A207629.

Sequence in context: A165188 A294778 A132180 * A126191 A070883 A120029

Adjacent sequences:  A207627 A207628 A207629 * A207631 A207632 A207633

KEYWORD

nonn,tabf

AUTHOR

Clark Kimberling, Feb 23 2012

STATUS

approved

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Last modified June 17 17:12 EDT 2019. Contains 324196 sequences. (Running on oeis4.)