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Search: id:A091033
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A091033 Third column (k=4) of array A090438 ((4,2)-Stirling2). +0
3
1, 180, 25200, 4233600, 898128000, 239740300800, 79332244992000, 32011868528640000, 15509750302126080000, 8898339094906060800000, 5971815866682429603840000, 4637851802955964809216000000 (list; graph; listen)
OFFSET

2,2

FORMULA

a(n)=A090438(n, 4), n>=2.

a(n)= (n-1)*(2*n-3)*(2*n)!/4! = binomial(2*(n-1), 2)*(2*n)!/4! = A000384(n-1)*(2*n)!/4!, n>=2.

E.g.f.: (6*hypergeom([1/2, 1], [], 4*x) - 4*hypergeom([1, 3/2], [], 4*x) + hypergeom([3/2, 2], [], 4*x) -3)/4! (cf. A090438).

CROSSREFS

Cf. A091032 (second column of A090438 divided by 8), A091034 (fourth column divided by 24).

Sequence in context: A008432 A008378 A035830 this_sequence A146530 A057867 A075871

Adjacent sequences: A091030 A091031 A091032 this_sequence A091034 A091035 A091036

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Jan 23 2004

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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