The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A091740 Third column (k=4) sequence of array A091534 ((5,2)-Stirling2). 0
1, 290, 71320, 22097600, 8928102400, 4644244774400, 3046988353024000, 2470747704449024000, 2431736840968314880000, 2859398101389251502080000, 3962371103307529193881600000, 6394280010754055221811609600000 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,2
LINKS
FORMULA
a(n)=A091534(n, 4), n>=2.
a(n)= (3^(2*n))*(6*risefac(2/3, n)*risefac(1/3, n) - 4*n!*risefac(2/3, n) + risefac(4/3, n)*n!)/4!, with risefac(x, n)=Pochhammer(x, n).
E.g.f.: (6*hypergeom([2/3, 1/3], [], 9*x) - 4*hypergeom([1, 2/3], [], 9*x) + hypergeom([4/3, 1], [], 9*x) - 3)/4!.
a(n)= (6*fac3(3*n-2)*fac3(3*n-1)-4*fac3(3*n-1)*fac3(3*n)+fac3(3*n)*fac3(3*n+1))/4!, n>=2, with fac3(n)=A007661(n) (triple factorials). Rewritten from eq.12 of the Blasiak et al. reference given in A091534 for r=5, s=2, k=4.
CROSSREFS
Cf. A091539 (second column of array A091534 divided by 10).
Sequence in context: A335613 A369396 A186548 * A098250 A031515 A352536
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Feb 13 2004
STATUS
approved

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 22 10:24 EDT 2024. Contains 372745 sequences. (Running on oeis4.)