login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A105251 a(n) = binomial(n+4,n)*binomial(n+8,n). 1
1, 45, 675, 5775, 34650, 162162, 630630, 2123550, 6370650, 17381650, 43801758, 103169430, 229265400, 484306200, 978496200, 1900457064, 3563356995, 6473226375, 11428041625, 19658764125, 33026723730, 54295634250, 87501228750, 138447123750, 215362192500 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

T. D. Noe, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).

FORMULA

G.f.: -(70*x^4+224*x^3+168*x^2+32*x+1)/(x-1)^13. [Colin Barker, Jan 21 2013]

EXAMPLE

a(0): C(0+4,0)*C(0+8,0) = C(4,0)*C(8,0) = 1*1 = 1;

a(10): C(10+4,10)*C(10+8,10) = C(14,10)*(18,10) = 1001*43758 = 43801758.

MATHEMATICA

f[n_] := Binomial[n + 4, n]Binomial[n + 8, n]; Table[ f[n], {n, 0, 22}] (* Robert G. Wilson v, Apr 20 2005 *)

PROG

(MAGMA) [Binomial(n+4, n)*Binomial(n+8, n): n in [0..30]]; // Vincenzo Librandi, Jul 31 2015

CROSSREFS

Sequence in context: A160234 A110691 A296540 * A099632 A264138 A293971

Adjacent sequences:  A105248 A105249 A105250 * A105252 A105253 A105254

KEYWORD

easy,nonn

AUTHOR

Zerinvary Lajos, Apr 14 2005

EXTENSIONS

More terms from Robert G. Wilson v, Apr 20 2005

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 7 01:11 EDT 2020. Contains 333291 sequences. (Running on oeis4.)