cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A323063 Coefficients arising in the enumeration of configurations of linear chains.

Original entry on oeis.org

0, 0, 0, 0, 1, 21, 282, 3102, 30583, 282368, 2494567
Offset: 1

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Petros Hadjicostas, Jan 03 2019

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Comments

In the notation of Nemirovsky et al. (1992), a(n), the n-th term of the current sequence, is equal to p_{n,m}^{(l)} with m = 0 and l = 5.
For a possible interpretation of this sequence (in the context of a 5-dimensional hypercubic lattice), see the comments by Bert Dobbelaere for the sequence A038748 about a cubic lattice.
We have p_{n,0}^{(2)} = A038746(n), p_{n,0}^{(3)} = A038748(n), and p_{n,0}^{(4)} = A323037(n). For p_{n,0}^{(l)} for l = 6..10, see Table II (p. 1094) in the paper by Nemirovsky et al. (1992).

Crossrefs

A049230 Configurations of linear chains in a cubic lattice.

Original entry on oeis.org

0, 0, 0, 0, 288, 2112, 11928, 66192, 353544, 1817208, 9092592, 44547912, 214532136, 1019264736, 4783813296, 22238211480, 102424615968, 468396156360
Offset: 1

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Keywords

Comments

In the notation of Nemirovsky et al. (1992), a(n), the n-th term of this sequence is C_{n,m} for m=2 (and d=3). Here, C_{n,m} is the total number of configurations "for chains of n links with m nearest-neighbor contacts" in a d-dimensional lattice (with d=3). These numbers appear in Table I (p. 1088). - Petros Hadjicostas, Jan 03 2019

Crossrefs

Extensions

Name edited by Petros Hadjicostas, Jan 03 2019
a(12)-a(18) from Sean A. Irvine, Jul 23 2021
Showing 1-2 of 2 results.