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#13 by Vaclav Kotesovec at Fri Mar 05 07:01:37 EST 2021
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#12 by Vaclav Kotesovec at Fri Mar 05 07:01:32 EST 2021
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| MATHEMATICA
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FoldList[Times, 1, Table[Hypergeometric2F1[-n, n + 1, 1, -1], {n, 1, 15}]]
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| STATUS
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approved
editing
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#11 by Joerg Arndt at Thu Mar 04 07:04:07 EST 2021
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#10 by Alois P. Heinz at Thu Mar 04 05:40:18 EST 2021
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Discussion
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| Thu Mar 04
| 05:52
| Vaclav Kotesovec: Thank you, Alois!
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#9 by Alois P. Heinz at Thu Mar 04 05:40:12 EST 2021
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#8 by Alois P. Heinz at Thu Mar 04 05:40:09 EST 2021
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| MAPLE
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b:= proc(n) option remember; `if`(n<1, 1,
(3*(2*n-1)*b(n-1) -(n-1)*b(n-2))/n)
end:
a:= proc(n) a(n):=`if`(n=0, 1, a(n-1)*b(n)) end:
seq(a(n), n=0..15); # Alois P. Heinz, Mar 04 2021
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| STATUS
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proposed
editing
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#7 by Michel Marcus at Thu Mar 04 05:38:07 EST 2021
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#6 by Michel Marcus at Thu Mar 04 05:38:03 EST 2021
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| PROG
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(PARI) D(n) = sum(k=0, n, binomial(n, k)*binomial(n+k, k)); \\ A001850
a(n) = prod(k=0, n, D(k)); \\ Michel Marcus, Mar 04 2021
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| STATUS
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proposed
editing
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#5 by Vaclav Kotesovec at Thu Mar 04 05:02:55 EST 2021
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#4 by Vaclav Kotesovec at Thu Mar 04 05:01:50 EST 2021
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| LINKS
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Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DelannoyNumber.html">Delannoy Number</a>.
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