basic element and parent for k-regular sequences

[dkrenn]

Implement minimal element and parent classes for working with k-regular sequences

See also Meta ticket #21202.

Depends on #21164
Depends on #21180
Depends on #21200
Depends on #21295

CC: @rwst @galipnik

Component: combinatorics

Author: Daniel Krenn

Branch/Commit: d532b56

Reviewer: Clemens Heuberger

Issue created by migration from https://trac.sagemath.org/ticket/21203

[dkrenn]

Branch: u/dkrenn/sequences/k-regular

[dkrenn]

Dependencies: #21164, #21180, #21200

[dkrenn]

Commit: 9c64180

[dkrenn]

Last 10 new commits:

965ec0f	Merge branch 'u/dkrenn/lazy_list-unbound-formatter' into u/dkrenn/sequences/k-regular
d8ae454	make product_of_matrices a private method
03c6418	docstring of _product_of_matrices_
16e041b	phrase error message and test it
091a276	use lazy_list_formatter in _repr_
e233dfd	write the missing docstrings
1818628	modify docstring at top of file
1e5efc8	rename to kRegularSequenceSpace
c14eceb	__classcall__ and __init__
9c64180	write remaining docstrings

[sagetrac-git]

Changed commit from 9c64180 to b92ff44

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

d3e2df6	Trac #21200: simplify requirements for input (only iterable needed)
7e166c3	Merge branch 'u/dkrenn/lazy_list-unbound-formatter' into u/dkrenn/sequences/k-regular
4102e47	__iter__ method
b92ff44	simplify `_repr_` code

[sagetrac-git]

Changed commit from b92ff44 to b4d5590

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. Last 10 new commits:

a2c8e91	new repr
089a0ea	remove output_function
6b67851	adapt docstring of transposed
800a329	Merge branch 'u/dkrenn/sequences/recognizable' into u/dkrenn/sequences/k-regular
28149c9	import of recognizable series
a26a051	matrices --> mu
9128d28	initial, selection --> left, right
5cf8f56	split `__normalize__` from `__classcall__` (to deal better with inheritance)
4bc0749	Merge branch 'u/dkrenn/sequences/recognizable' into u/dkrenn/sequences/k-regular
b4d5590	use new code for RecognizableSeries

[dkrenn]

Changed dependencies from #21164, #21180, #21200 to #21164, #21180, #21200, #21295

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. Last 10 new commits:

5f06dac	minor rewrite in _repr_
b18d3aa	check input of RecognizableSequenceSpace and document it
85c1a03	checks for creating recognizable series
eec776e	fix doctests
7d96697	coverage to 100%
4a1db0e	reorder imports
62ebcda	complete documentation
4331957	Merge branch 'u/dkrenn/sequences/recognizable' into u/dkrenn/sequences/k-regular
dab4db8	complete docstrings and 100% coverage
9afc4ac	cross-references

[sagetrac-git]

Changed commit from b4d5590 to 9afc4ac

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

fd4f541	move "transpose" in docstring to correct place
4eb1544	Merge branch 'u/dkrenn/sequences/recognizable' into u/dkrenn/sequences/k-regular
cf1b8cc	correct one link