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Revision History for A174319

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Showing entries 1-10 | older changes
Number of n-step walks on cubic lattice (no points repeated, no adjacent points unless consecutive in path).
(history; published version)
#32 by Joerg Arndt at Fri Jan 04 04:19:22 EST 2019
STATUS

reviewed

approved

#31 by Michel Marcus at Fri Jan 04 02:22:56 EST 2019
STATUS

proposed

reviewed

#30 by Petros Hadjicostas at Thu Jan 03 15:06:17 EST 2019
STATUS

editing

proposed

#29 by Petros Hadjicostas at Thu Jan 03 15:05:44 EST 2019
COMMENTS

In the notation of Nemirovsky et al. (1992), a(n), the nth n-th term of the current sequence is C_{n,m} with m=0 (and d=3). Here, for a d-dimensional hypercubic lattice, C_{n,m} is "the number of configurations of an n-bond self-avoiding chain with m neighbor contacts." (Let n >= 1. For d=2, we have C(n,0) = A173380(n); for d=4, we have C(n,0) = A034006(n); and for d=5, we have C(n,0) = A038726(n).) - Petros Hadjicostas, Jan 03 2019

STATUS

proposed

editing

Discussion
Thu Jan 03
15:06
Petros Hadjicostas: Thanks. I will correct it in other sequences as well. - Petros
#28 by Petros Hadjicostas at Thu Jan 03 14:47:27 EST 2019
STATUS

editing

proposed

Discussion
Thu Jan 03
14:58
Michel Marcus: please nth should be n-th
#27 by Petros Hadjicostas at Thu Jan 03 14:40:03 EST 2019
COMMENTS

In the notation of Nemirovsky et al. (1992), a(n), the nth term of the current sequence is C_{n,m} with m=0 (and d=3). Here, for a d-dimensional hypercubic lattice, C_{n,m} is "the number of configurations of an n-bond self-avoiding chain with m neighbor contacts." (Let n >= 1. For d=2, we have C(n,0) = A173380(n); for d=4, we have C(n,0) = A034006(n); and for d=5, we have C(n,0) = A038726(n).) - _Petros Hadjicostas_, Jan 03 2019

#26 by Petros Hadjicostas at Thu Jan 03 14:37:50 EST 2019
COMMENTS

In the notation of Nemirovsky et al. (1992), a(n), the nth term of the current sequence is C_{n,m} with m=0 (and d=3). Here, for a d-dimensional hypercubic lattice, C_{n,m} is "the number of configurations of an n-bond self-avoiding chain with m neighbor contacts." (For d=2, we have C(n,0) = A173380(n); for d=4, we have C(n,0) = A034006(n); and for d=5, we have C(n,0) = .)

STATUS

approved

editing

#25 by Joerg Arndt at Thu Jan 03 03:07:50 EST 2019
STATUS

reviewed

approved

#24 by Michel Marcus at Thu Jan 03 02:42:23 EST 2019
STATUS

proposed

reviewed

#23 by Bert Dobbelaere at Thu Jan 03 02:37:21 EST 2019
STATUS

editing

proposed