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A091550 Second column (k=3) sequence of array A091746 ((6,2)-Stirling2) divided by 12. 3
1, 160, 39900, 15120000, 8202070800, 6058891238400, 5860547004312000, 7196668193594880000, 10944624305020966560000, 20199809308312018344960000, 44490168120726255724917120000, 115290834599202214240544256000000 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,2
LINKS
FORMULA
a(n)=(2^(4*n))*risefac(1/2, n)*(-3*risefac(1/4, n) + risefac(3/4, n))/(3!*12), n>=2, with risefac(x, n)=Pochhammer(x, n).
E.g.f.: (hypergeom([1/2, 3/4], [], 16*x) - 3*hypergeom([1/4, 1/2], [], 16*x) + 2)/(3!*12).
a(n)=(2^n)*product(2*j+1, j=0..n-1)* (-3*product(4*j+1, j=0..n-1) + product(4*j+3, j=0..n-1))/(3!*12), n>=2. From eq.12 of the Blasiak et al. reference given in A078740 with r=6, s=2, k=3.
CROSSREFS
Cf. A091539 (second column of (5, 2)-Stirling2 array), A091550 (second column of (7, 2)-Stirling2 array).
Sequence in context: A183769 A190937 A163056 * A027553 A159378 A172074
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Feb 13 2004
STATUS
approved

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Last modified July 17 16:16 EDT 2024. Contains 374377 sequences. (Running on oeis4.)