The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A097476 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A097476

a(n) = Product_{i=0..n-1} ((2i)!)^2.
(history; published version)

#15 by Harvey P. Dale at Mon Jul 05 16:52:54 EDT 2021

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editing

approved

#14 by Harvey P. Dale at Mon Jul 05 16:52:52 EDT 2021

MATHEMATICA

Table[Product[((2i)!)^2, {i, 0, n-1}], {n, 8}] (* Harvey P. Dale, Jul 05 2021 *)

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#13 by Andrew Howroyd at Mon Jan 04 13:55:20 EST 2021

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reviewed

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#12 by Joerg Arndt at Mon Jan 04 06:25:01 EST 2021

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#11 by Michel Marcus at Mon Jan 04 05:27:09 EST 2021

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proposed

#10 by Michel Marcus at Mon Jan 04 05:27:06 EST 2021

LINKS

C. Krattenthaler, <a href="http://www.mat.univie.ac.at/~kratt/artikel/detsurv.html">Advanced Determinant Calculus</a>, Séminaire Lotharingien Combin. 42 ("The Andrews Festschrift") (1999), Article B42q, 67 pp.

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#9 by Michel Marcus at Mon Jan 04 05:26:23 EST 2021

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reviewed

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#8 by Joerg Arndt at Mon Jan 04 04:38:50 EST 2021

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#7 by Jon E. Schoenfield at Mon Jan 04 04:28:36 EST 2021

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#6 by Jon E. Schoenfield at Mon Jan 04 04:28:34 EST 2021

NAME

a(n) =prod( Product_{i=0,..n-1,} ((2i)!)^2).

COMMENTS

a(n) = determinant of n X n matrix m(i,j)=E(2i+2j), 0<=i,j<=n-1, where E(2k) is the (2k)-th signless Euler number in 1/cos(z) =sum( Sum_{k>=0,} E(2k)*z^(2k)/(2k)!).

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approved

editing