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A207614 Triangle of coefficients of polynomials u(n,x) jointly generated with A207615; see the Formula section. 3
1, 2, 5, 1, 11, 5, 1, 23, 16, 6, 1, 47, 44, 23, 7, 1, 95, 112, 74, 31, 8, 1, 191, 272, 216, 113, 40, 9, 1, 383, 640, 592, 368, 162, 50, 10, 1, 767, 1472, 1552, 1112, 579, 222, 61, 11, 1, 1535, 3328, 3936, 3184, 1902, 861, 294, 73, 12, 1, 3071, 7424, 9728 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..59.

FORMULA

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

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

EXAMPLE

First five rows:

1

2

5....1

11...5....1

23...16...6...1

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_] := u[n - 1, x] + (x + 1)*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[%]    (* A207614 *)

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

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

TableForm[cv]

Flatten[%]    (* A207615 *)

CROSSREFS

Cf. A207615.

Sequence in context: A323411 A089618 A207629 * A156067 A263487 A101920

Adjacent sequences:  A207611 A207612 A207613 * A207615 A207616 A207617

KEYWORD

nonn,tabf

AUTHOR

Clark Kimberling, Feb 20 2012

STATUS

approved

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Last modified October 21 11:42 EDT 2019. Contains 328296 sequences. (Running on oeis4.)