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A140354 a(n) = 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+9)-dimensional hypercube. - Zerinvary Lajos, Jan 29 2010; corrected by Michel Marcus, Jan 10 2015

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 entries for 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

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Last modified December 3 10:49 EST 2016. Contains 278699 sequences.