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#48 by Charles R Greathouse IV at Thu Sep 08 08:45:29 EDT 2022
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| PROG
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(MAGMAMagma) [Factorial(2*n)/Factorial(n-1) : n in [1..20]]; // Wesley Ivan Hurt, Dec 14 2015
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Discussion
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| Thu Sep 08
| 08:45
| OEIS Server: https://oeis.org/edit/global/2944
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#47 by Peter Luschny at Mon Mar 12 07:40:01 EDT 2018
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#46 by Joerg Arndt at Mon Mar 12 07:07:29 EDT 2018
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#45 by Joerg Arndt at Mon Mar 12 07:07:20 EDT 2018
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#44 by Joerg Arndt at Mon Mar 12 07:07:08 EDT 2018
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| FORMULA
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From _a(n) = Pochhammer(n,n+1). - _Pedro Caceres_, Mar 10 2018: (Start)
a(n) = Pochhammer(n,n+1);
a(n) = gamma(2n+1)/gamma(n). (End)
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| STATUS
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proposed
editing
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#43 by Altug Alkan at Sun Mar 11 17:32:23 EDT 2018
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Discussion
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| Mon Mar 12
| 05:18
| Andrey Zabolotskiy: I agree with Michel's remark: "Personally I would only keep the line: a(n) = Pochhammer(n,n+1);"
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#42 by Altug Alkan at Sun Mar 11 17:31:54 EDT 2018
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| PROG
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(PARI) x='x+O('x^99); Vec(serlaplace(2*x/(1-4*x)^(3/2))) \\ Altug Alkan, Mar 11 2018
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| STATUS
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proposed
editing
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#41 by Pedro Caceres at Sun Mar 11 09:13:56 EDT 2018
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#40 by Joerg Arndt at Sun Mar 11 05:21:27 EDT 2018
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| FORMULA
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a(n) = (n)_{n+1};
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| STATUS
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proposed
editing
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Discussion
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| Sun Mar 11
| 05:22
| Joerg Arndt: a(n) = Pochhammer(n,n+1); is also identical to a(n) = Product_{i=n..2n} i. - Wesley Ivan Hurt, Dec 14 2015
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#39 by Pedro Caceres at Sat Mar 10 22:25:14 EST 2018
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Discussion
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| Sat Mar 10
| 22:26
| Pedro Caceres: Jon, I prefer (n)_{n+1}, thanks
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| Sun Mar 11
| 01:50
| Jon E. Schoenfield: Okay, thanks!
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| 03:57
| Michel Marcus: Personally I would only keep the line: a(n) = Pochhammer(n,n+1);
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| 03:58
| Michel Marcus: I find a(n) = (n)_{n+1}; brings nothing over previous line
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