The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A295469 a(n) = (20*n)!*(3*n)!/((12*n)!*(10*n)!*n!). 2

%I #7 Jul 27 2022 09:23:44

%S 1,8398,194588550,5100249334348,141026130105441350,

%T 4018577033905015730148,116743212747975158088926364,

%U 3437433902477818949422435085400,102221680117258170626629637553328710,3063070065565412402561157982751304224500,92339640658637142866394391974518333925957300

%N a(n) = (20*n)!*(3*n)!/((12*n)!*(10*n)!*n!).

%F G.f.: hypergeom([1/20, 3/20, 7/20, 9/20, 11/20, 13/20, 17/20, 19/20], [1/12, 1/6, 5/12, 1/2, 7/12, 5/6, 11/12], 625000000/19683*x).

%F D-finite with recurrence +27*n*(12*n-11)*(12*n-1)*(6*n-1)*(12*n-5)*(2*n-1)*(12*n-7)*(6*n-5)*a(n) -50*(20*n-11)*(20*n-9)*(20*n-7)*(20*n-3)*(20*n-1)*(20*n-19)*(20*n-17)*(20*n-13)*a(n-1)=0. - _R. J. Mathar_, Jul 27 2022

%p A295469 := proc(n)

%p (20*n)!*(3*n)!/((12*n)!*(10*n)!*n!) ;

%p end proc:

%p seq(A295469(n),n=0..43) ; # _R. J. Mathar_, Jul 27 2022

%Y Cf. A295431.

%K nonn

%O 0,2

%A _Gheorghe Coserea_, Nov 28 2017

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

Last modified September 11 17:00 EDT 2024. Contains 375836 sequences. (Running on oeis4.)