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A091549 Second column (k=3) sequence of array A078740 ((3,2)-Stirling2) divided by 6. 0
1, 28, 960, 43200, 2520000, 186278400, 17069875200, 1902071808000, 253487646720000, 39833773056000000, 7291173820170240000, 1538106259064094720000, 370502654756909875200000 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

LINKS

Table of n, a(n) for n=2..14.

FORMULA

a(n)= n!*(n+1)!*(-3 + (n+2)*(n+1)/2)/(3!)^2, n>=2.

E.g.f.: (hypergeom([2, 3], [], x) - 3*hypergeom([1, 2], [], x) + 2)/(3!)^2.

a(n)=product(j+2, j=0..n-1)* (-3*product(j+1, j=0..n-1) + product(j+3, j=0..n-1))/(3!)^2, n>=2. From eq.12 of the Blasiak et al. reference given in A078740 with r=3, s=2, k=3.

CROSSREFS

Sequence in context: A239336 A203135 A097579 * A034904 A189995 A228689

Adjacent sequences:  A091546 A091547 A091548 * A091550 A091551 A091552

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Feb 13 2004

STATUS

approved

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Last modified December 16 12:31 EST 2018. Contains 318160 sequences. (Running on oeis4.)