login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A210190 Triangle of coefficients of polynomials v(n,x) jointly generated with A210189; see the Formula section. 3
1, 2, 2, 3, 8, 4, 20, 4, 5, 40, 24, 6, 70, 84, 8, 7, 112, 224, 64, 8, 168, 504, 288, 16, 9, 240, 1008, 960, 160, 10, 330, 1848, 2640, 880, 32, 11, 440, 3168, 6336, 3520, 384, 12, 572, 5148, 13728, 11440, 2496, 64, 13, 728, 8008, 27456, 32032, 11648 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For a discussion and guide to related arrays, see A208510.

LINKS

Table of n, a(n) for n=1..54.

FORMULA

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

v(n,x)=2x*u(n-1,x)+v(n-1,x)+1,

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

EXAMPLE

First five rows:

1

2...2

3...8

4...20...4

5...40...24

First three polynomials v(n,x): 1, 2 + 2x , 3 + 8x.

MATHEMATICA

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

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

v[n_, x_] := 2 x*u[n - 1, x] + v[n - 1, x] + 1;

Table[Expand[u[n, x]], {n, 1, z/2}]

Table[Expand[v[n, x]], {n, 1, z/2}]

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

TableForm[cu]

Flatten[%]   (* A210189 *)

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

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

TableForm[cv]

Flatten[%]   (* A210190 *)

CROSSREFS

Cf. A210189, A208510.

Sequence in context: A220553 A176383 A100551 * A070267 A205374 A056762

Adjacent sequences:  A210187 A210188 A210189 * A210191 A210192 A210193

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Mar 18 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified November 21 21:29 EST 2014. Contains 249791 sequences.