The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A346677 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A346677

Triangular array read by rows. T(n,k) is the number of n X n matrices over GF(2) that can be decomposed as the direct sum of k cyclic matrices, 0<=k<=n, n>=0.
(history; published version)

#19 by Alois P. Heinz at Thu Jun 30 12:40:25 EDT 2022

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editing

approved

#18 by Alois P. Heinz at Thu Jun 30 12:40:22 EDT 2022

EXAMPLE

...

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editing

#17 by Wesley Ivan Hurt at Thu Jun 30 12:39:33 EDT 2022

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proposed

reviewed

#16 by Michel Marcus at Thu Jun 30 12:37:06 EDT 2022

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editing

proposed

#15 by Michel Marcus at Thu Jun 30 12:21:55 EDT 2022

REFERENCES

Joseph Kung, Linear Algebra and its Applications, Vol 36,The Cycle Structure of a Linear Transformation over a Finite Field, 1981, pages 141-155.

LINKS

Joseph Kung, <a href="https://doi.org/10.1016/0024-3795(81)90227-5">The Cycle Structure of a Linear Transformation over a Finite Field</a>, Linear Algebra and its Applications, Vol 36, 1981, pages 141-155.

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approved

editing

#14 by N. J. A. Sloane at Sun Aug 08 11:16:24 EDT 2021

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proposed

approved

#13 by Geoffrey Critzer at Sun Aug 08 10:54:39 EDT 2021

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proposed

#12 by Geoffrey Critzer at Sun Aug 08 10:53:39 EDT 2021

CROSSREFS

Cf. A002416 (row sums) A132186 (main diagonal).

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reviewed

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Discussion

Sun Aug 08

10:54

Geoffrey Critzer: Yes thanks.  I added this as a cross reference.

#11 by Joerg Arndt at Sun Aug 08 03:22:55 EDT 2021

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proposed

reviewed

Discussion

Sun Aug 08

03:32

Michel Marcus: right diagonal is A132186 ?

#10 by Jon E. Schoenfield at Thu Jul 29 21:20:40 EDT 2021

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editing

proposed