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!)
A140354 Binomial(n+9,9)*2^n. 10
1, 20, 220, 1760, 11440, 64064, 320320, 1464320, 6223360, 24893440, 94595072, 343982080, 1203937280, 4074864640, 13388840960, 42844291072, 133888409600, 409541017600, 1228623052800, 3621204787200, 10501493882880, 30004268236800 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Number of 9D hypercubes in an n-dimensional hypercube. [Zerinvary Lajos, Jan 29 2010]

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..400

M. Janjic and B. Petkovic, A Counting Function, arXiv 1301.4550, 2013

Index to sequences with linear recurrences with constant coefficients, signature (20,-180,960,-3360,8064,-13440,15360,-11520,5120,-1024).

FORMULA

G.f.: 1/(1-2*x)^10 [Harvey P. Dale, Jul 18 2011]

a(0)=1, a(1)=20, a(2)=220, a(3)=1760, a(4)=11440, a(5)=64064, a(6)=320320, a(7)=1464320, a(8)=6223360, a(9)=24893440, a(n)=20*a(n-1)- 180*a(n-2)+ 960*a(n-3)- 3360*a(n-4)+ 8064*a(n-5)- 13440*a(n-6)+ 15360*a(n-7)- 11520*a(n-8)+ 5120*a(n-9)- 1024*a(n-10). [Harvey P. Dale, Jul 18 2011]

a(n) = 2*a(n-1)+A140325(n-1) - Ruskin Harding, May 13 2013

MAPLE

seq(binomial(n+9, 9)*2^n, n=0..23);

MATHEMATICA

Table[Binomial[n + 9, 9]*2^n, {n, 0, 20}] (* Zerinvary Lajos, Jan 29 2010 *)

CoefficientList[Series[1/(1-2x)^10, {x, 0, 30}], x] (* Harvey P. Dale, Jul 18 2011 *)

PROG

(Sage) [lucas_number2(n, 2, 0)*binomial(n, 9)/512 for n in xrange(9, 31)] # Zerinvary Lajos, Mar 10 2009

(PARI) a(n)=binomial(n+9, 9)<<n \\ Charles R Greathouse IV, Jul 18 2011

(MAGMA) [2^n* Binomial(n+9, 9): n in [0..30]]; // Vincenzo Librandi, Oct 14 2011

CROSSREFS

Sequence in context: A213351 A140236 A004411 * A155673 A000833 A178261

Adjacent sequences:  A140351 A140352 A140353 * A140355 A140356 A140357

KEYWORD

nonn,easy

AUTHOR

Zerinvary Lajos, Jun 23 2008

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 27 02:34 EST 2014. Contains 250152 sequences.