The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A342181

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A342181

Product of first n Robbins numbers.
(history; published version)

#13 by Vaclav Kotesovec at Fri Mar 05 07:05:51 EST 2021

STATUS

editing

approved

#12 by Vaclav Kotesovec at Fri Mar 05 07:04:29 EST 2021

MATHEMATICA

Table[Product[Product[(3*j + 1)!/(k + j)!, {j, 0, k-1}], {k, 1, n}], {n, 1, 0, 12}]

FoldList[Times, 1, Table[Product[(3*j + 1)!/(n + j)!, {j, 0, n - 1}], {n, 1, 12}]]

STATUS

approved

editing

#11 by Joerg Arndt at Fri Mar 05 01:55:11 EST 2021

STATUS

reviewed

approved

#10 by Alois P. Heinz at Thu Mar 04 19:07:35 EST 2021

STATUS

proposed

reviewed

#9 by Alois P. Heinz at Thu Mar 04 19:07:31 EST 2021

STATUS

editing

proposed

#8 by Alois P. Heinz at Thu Mar 04 19:07:23 EST 2021

MAPLE

b:= proc(n) option remember; `if`(n<2, 1, b(n-1)*

(n-1)!*(3*n-2)!/((2*n-2)!*(2*n-1)!))

end:

a:= proc(n) a(n):=`if`(n=0, 1, a(n-1)*b(n)) end:

seq(a(n), n=0..12); # Alois P. Heinz, Mar 04 2021

STATUS

proposed

editing

#7 by Vaclav Kotesovec at Thu Mar 04 16:18:38 EST 2021

STATUS

editing

proposed

#6 by Vaclav Kotesovec at Thu Mar 04 16:17:31 EST 2021

LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/AlternatingSignMatrix.html">Alternating Sign Matrix</a>.

Wikipedia, <a href="https://en.wikipedia.org/wiki/Barnes_G-function">Barnes G-function</a>.

#5 by Vaclav Kotesovec at Thu Mar 04 16:16:06 EST 2021

LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/AlternatingSignMatrix.html">Alternating Sign Matrix</a>

#4 by Vaclav Kotesovec at Thu Mar 04 14:10:12 EST 2021

CROSSREFS

Cf. A005130.