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#184 by Hugo Pfoertner at Fri Aug 02 03:13:49 EDT 2024
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#183 by Joerg Arndt at Fri Aug 02 02:20:21 EDT 2024
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#182 by Michel Marcus at Thu Aug 01 03:08:23 EDT 2024
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#181 by Michel Marcus at Thu Aug 01 03:08:14 EDT 2024
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| COMMENTS
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Number of walks with 2n steps on the cubic lattice Z X Z X Z^3 beginning and ending at (0,0,0).
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| STATUS
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approved
editing
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Discussion
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| Thu Aug 01
| 03:08
| Michel Marcus: ok ??
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#180 by Michel Marcus at Thu Aug 01 03:08:00 EDT 2024
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#179 by Joerg Arndt at Thu Aug 01 02:44:29 EDT 2024
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#178 by Jason Yuen at Thu Aug 01 02:40:10 EDT 2024
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#177 by Jason Yuen at Thu Aug 01 02:39:41 EDT 2024
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| COMMENTS
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Number of walks with 2n steps on the cubic lattice Z X Z X Z beginning and ending at (0,0,0)).).
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| FORMULA
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a(n) = (4^n*p(1/2, n)/n!)*hypergeom([ -([-n, -n, 1/2], [1, 1], 4)), ), where p(a, k) = Product_{i=0..k-1} (a+i).
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| STATUS
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approved
editing
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#176 by Amiram Eldar at Tue Jul 25 02:45:42 EDT 2023
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#175 by Michel Marcus at Tue Jul 25 01:42:44 EDT 2023
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