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Revision History for A034328

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Triangle read by rows: T(n,k) = number of loopless, regular k X n-matrix matroids of dimension k (or n-matroids of rank k).
(history; published version)

#10 by Russ Cox at Fri Mar 30 16:47:28 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com)_.

Discussion

Fri Mar 30

16:47

OEIS Server: https://oeis.org/edit/global/110

#9 by Russ Cox at Sun Jul 10 18:41:34 EDT 2011

LINKS

<a href="/Sindx_index/Mat.html#matroid">Index entries for sequences related to matroids</a>

Discussion

Sun Jul 10

18:41

OEIS Server: https://oeis.org/edit/global/57

#8 by Russ Cox at Sun Jul 10 18:18:24 EDT 2011

LINKS

<a href="/Sindx_index/Coa.html#codes_binary_linear">Index entries for sequences related to binary linear codes</a>

Discussion

Sun Jul 10

18:18

OEIS Server: https://oeis.org/edit/global/29

#7 by N. J. A. Sloane at Thu Nov 11 07:34:06 EST 2010

LINKS

<a href="/Sindx_Coa.html#codes_binary_linear">Index entries for sequences related to binary linear codes</a>

<a href="/Sindx_Mat.html#matroid">Index entries for sequences related to matroids</a>

KEYWORD

nonn,tabl,new

#6 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

LINKS

<a href="http://www.research.att.com/~njas/sequences/Sindx_Coa.html#codes_binary_linear">Index entries for sequences related to binary linear codes</a>

<a href="http://www.research.att.com/~njas/sequences/Sindx_Mat.html#matroid">Index entries for sequences related to matroids</a>

KEYWORD

nonn,tabl,new

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

#5 by N. J. A. Sloane at Sun Dec 09 03:00:00 EST 2007

NAME

Triangle read by rows: T(n,k) = number of loopless, regular k X n-matrix matroids of dimension k. Also number (or n-matroids of inequivalent [n,rank k] binary linear codes).

CROSSREFS

Cf. A034356, A034327.

EXTENSIONS

Description corrected by Harald Fripertinger, Nov 14 2007

#4 by N. J. A. Sloane at Fri Sep 29 03:00:00 EDT 2006

KEYWORD

nonn,newtabl

#3 by N. J. A. Sloane at Sat Jun 12 03:00:00 EDT 2004

NAME

Triangle of numbers read by rows: T(n,k) = number of regular k X n-matrix matroids of dimension k. Also number of inequivalent [n,k] binary linear codes.

COMMENTS

Also number of inequivalent [n,k] binary linear codes.

EXAMPLE

1; 1 ,1; 1 ,2 ,1; 1 ,3 ,3 ,1; 1,4,6,4,1; 1,6,12,11,5,1; 1,7,20,26,17,6,1; ...

KEYWORD

nonn,new

nonn

#2 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

NAME

Triangle of numbers of regular k x X n-matrix matroids of dimension k.

COMMENTS

Also number of inequivalent [n,k] binary linear codes.

REFERENCES

Computed by Harald Fripertinger (fripert@(AT)kfunigraz.ac.at).

LINKS

H. Fripertinger, <a href="http://bedvgmwww.kfunigrazmathe2.acuni-bayreuth.at:8001de/frib/codes/tables.html">Web siteIsometry Classes of Codes</a>

<a href="http://www.research.att.com/~njas/sequences/Sindx_Coa.html#codes_binary_linear">Index entries for sequences related to binary linear codes</a>

<a href="http://www.research.att.com/~njas/sequences/Sindx_Mat.html#matroid">Index entries for sequences related to matroids</a>

CROSSREFS

Cf. A034327-.

KEYWORD

nonn,new

nonn

#1 by N. J. A. Sloane at Sat Dec 11 03:00:00 EST 1999

NAME

Triangle of numbers of regular k x n-matrix matroids of dimension k.

DATA

1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 6, 12, 11, 5, 1, 1, 7, 20, 26, 17, 6, 1, 1, 9, 33, 58, 52, 25, 7, 1, 1, 11, 52, 121, 146, 95, 35, 8, 1, 1, 13, 78, 240, 388, 334, 162, 47, 9, 1, 1, 15, 113, 454, 975, 1123, 710, 262, 61, 10, 1, 1, 18, 163, 835, 2365

OFFSET

0,5

REFERENCES

Computed by Harald Fripertinger (fripert@kfunigraz.ac.at).

LINKS

<a href="http://bedvgm.kfunigraz.ac.at:8001/frib/codes/tables.html">Web site</a>

EXAMPLE

1; 1 1; 1 2 1; 1 3 3 1;...

CROSSREFS

Cf. A034327-.

KEYWORD

nonn

AUTHOR

njas

STATUS

approved