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Search: id:A061778
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| A061778 |
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Product of binomial coefficients C(n,j) from j=0 to Floor[n/2]. |
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+0
1
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| 1, 2, 3, 24, 50, 1800, 5145, 878080, 3429216, 2857680000, 15219319500, 63117561830400, 457937132487120, 9577928124440387712, 94609025993497640625, 10077943267571584204800000
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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For odd n, a(n)=Sqrt[A001142(n)], for even n, [a(n)^2]/A001405(n)=A001142(n).
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EXAMPLE
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n=5, a(5)=1.5.10=50 n=6, a(6)=1.5.15.20=1800
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MATHEMATICA
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Table[Apply[Times, Table[Binomial[n, j], {j, 0, Floor[n/2]}]], {w, 1, 20}]
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CROSSREFS
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A001142, A001405.
Sequence in context: A037319 A032811 A092049 this_sequence A118204 A061355 A057665
Adjacent sequences: A061775 A061776 A061777 this_sequence A061779 A061780 A061781
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KEYWORD
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easy,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jun 22 2001
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