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Search: id:A091036
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| A091036 |
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Sixth column (k=7) of array A090438 ((4,2)-Stirling2) divided by 48=4!*2. |
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+0
2
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| 1, 840, 498960, 285405120, 173145772800, 115598414131200, 86165279456256000, 72034173625430016000, 67538393730337001472000, 70856069211827240140800000, 82901600977837870964736000000
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OFFSET
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4,2
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FORMULA
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a(n)=A090438(n, 7)/48, n>=4.
a(n)=binomial(2*n-2, 5)*(2*n)!/(7!*4!*2)= A053132(n+1)*(2*n)!/(7!*4!), n>=4.
E.g.f.:(sum(((-1)^(p+1))*binomial(7, p)*hypergeom([(p-1)/2, p/2], [], 4*x), p=2..7) + 6)/(7!*48) (cf. A090438).
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CROSSREFS
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Cf. A091035 (fifth column of A090438).
Sequence in context: A055353 A107516 A091035 this_sequence A091038 A121498 A159690
Adjacent sequences: A091033 A091034 A091035 this_sequence A091037 A091038 A091039
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Jan 23 2004
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