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!)
A105946 C(n+5,n)*C(n+3,3). 1
1, 24, 210, 1120, 4410, 14112, 38808, 95040, 212355, 440440, 858858, 1589952, 2815540, 4798080, 7907040, 12651264, 19718181, 30020760, 44753170, 65456160, 94093230, 133138720, 185679000, 255528000, 347358375, 466849656, 620854794, 817586560, 1066825320 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..28.

Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

FORMULA

G.f.: -(10*x^3+30*x^2+15*x+1) / (x-1)^9. [Colin Barker, Jan 28 2013]

EXAMPLE

If n=0 then C(0+5,0)*C(0+3,3)= C(5,0)*C(3,3)=1*1=1

If n=15 then C(15+5,15)*C(15+3,3)= C(20,15)*C(18,3)=15504*816=12651264

MAPLE

A105946:=n->binomial(n+5, n)*binomial(n+3, 3); seq(A105946(n), n=0..100); # Wesley Ivan Hurt, Nov 26 2013

MATHEMATICA

Table[Binomial[n+5, n]*Binomial[n+3, 3], {n, 0, 100}] (* Wesley Ivan Hurt, Nov 26 2013 *)

LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {1, 24, 210, 1120, 4410, 14112, 38808, 95040, 212355}, 110] (* Harvey P. Dale, Jun 28 2015 *)

CROSSREFS

Cf. A062196.

Sequence in context: A047659 A108671 A097321 * A050222 A169635 A269496

Adjacent sequences:  A105943 A105944 A105945 * A105947 A105948 A105949

KEYWORD

easy,nonn

AUTHOR

Zerinvary Lajos, Apr 27 2005

EXTENSIONS

More terms from Colin Barker, Jan 28 2013

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 May 16 08:07 EDT 2021. Contains 343940 sequences. (Running on oeis4.)