The On-Line Encyclopedia of Integer Sequences (OEIS)

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A262961

Crandall numbers: (2/Pi)^4 Integral_{t>=0} ([Pi I_0(t)]^2 - [K_0(t)]^2) I_0(t) [K_0(t)]^5 (2t)^(2n-1) dt.
(history; published version)

#125 by Susanna Cuyler at Wed Jun 23 09:06:13 EDT 2021

STATUS

reviewed

approved

#124 by Joerg Arndt at Wed Jun 23 05:09:16 EDT 2021

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proposed

reviewed

#123 by Amiram Eldar at Wed Jun 23 02:27:02 EDT 2021

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editing

proposed

#122 by Amiram Eldar at Wed Jun 23 02:26:36 EDT 2021

COMMENTS

Named after the American physicist, mathematician and computer scientist Richard Eugene Crandall (1947-2012). - _Amiram Eldar_, Jun 23 2021

#121 by Amiram Eldar at Wed Jun 23 02:15:23 EDT 2021

COMMENTS

named Named after the American physicist, mathematician and computer scientist Richard Eugene Crandall (1947-2012).

#120 by Amiram Eldar at Wed Jun 23 02:14:55 EDT 2021

COMMENTS

named after the American physicist, mathematician and computer scientist Richard Eugene Crandall (1947-2012).

LINKS

David H. Bailey, Jonathan M. Borwein, David Broadhurst, M. L. Glasser, <a href="http://dx.doi.org/10.1088/1751-8113/41/20/205203">Elliptic integral evaluations of Bessel moments</a>, J. Phys. A: Math. Theor. , Vol. 41 (2008) 205203.

Jonathan M. Borwein, Bruno Salvy, <a href="https://projecteuclid.org/euclid.em/1227118973">A Proof of a Recursion for Bessel Moments</a>, Experiment. Math. Volume , Vol. 17, Issue No. 2 (2008), pp. 223-230.

David Broadhurst, <a href="/A262961/a262961.pdf">Crandall Memorial Puzzle</a> . [Cached copy, with permission]

David Broadhurst, <a href="http://physics.open.ac.uk/~dbroadhu/recsol.pdf">Crandall memorial puzzle: solution and heuristics</a>.

David Broadhurst, <a href="/A265079/a265079.pdf">Crandall memorial puzzle: solution and heuristics</a> . [Cached copy, with permission]

David Broadhurst, <a href="/A262961/a262961.txt">Table of n, a(n) for n = 1..450</a>.

David Broadhurst, <a href="/A262961/a262961_1.txt">The largest prime (or noncomposite) factor of A262961(n) for n = 1..94</a>.

Hans Havermann and David Broadhurst, <a href="http://chesswanks.com/num/CrandallNumbersFactored.txt">Crandall Numbers Factored</a>.

STATUS

approved

editing

#119 by N. J. A. Sloane at Fri Apr 20 00:39:23 EDT 2018

STATUS

proposed

approved

#118 by Michel Marcus at Thu Apr 19 17:43:15 EDT 2018

STATUS

editing

proposed

#117 by Michel Marcus at Thu Apr 19 17:43:10 EDT 2018

LINKS

David H. Bailey, Jonathan M. Borwein, David Broadhurst, M. L. Glasser, <a href="httphttps://dx.doiarxiv.org/10.1088/1751-8113/41/20abs/2052030801.0891">Elliptic integral evaluations of Bessel moments</a>, J. Phys. A: Math. Theor. 41 (2008) 205203, and arXiv:0801.0891 [hep-th], 2008.

David Broadhurst, <a href="http://arxiv.org/abs/1604.03057">Feynman integrals, L-series and Kloosterman moments</a>, arXiv:1604.03057, [physics.gen-ph], 2016. See Eq. 147.

STATUS

proposed

editing

#116 by Michael De Vlieger at Thu Apr 19 17:33:35 EDT 2018

STATUS

editing

proposed