The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A246994 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A246994

a(n) has property that for any finite field F of odd characteristic and order >= a(n) there is no bijective map m: M_n(F)->M_n(F) such that permanent A = det m(A).
(history; published version)

#11 by Alois P. Heinz at Sun Sep 28 08:10:27 EDT 2014

STATUS

editing

approved

#10 by Alois P. Heinz at Sun Sep 28 08:08:16 EDT 2014

NAME

a(n) has proerty property that for any finite field F of odd characteristic and order >= a(n) there is no bijective map m: M_n(F)->M_n(F) such that permanent A = det m(A).

COMMENTS

Conjecture: a(n) is always odd. - Jon Perry, Sep 18 2014

STATUS

proposed

editing

#9 by Jon Perry at Sun Sep 28 05:18:41 EDT 2014

STATUS

editing

proposed

Discussion

Sun Sep 28

06:00

Michel Marcus: proerty : typo

#8 by Jon Perry at Sun Sep 28 05:15:30 EDT 2014

NAME

a(n) has property proerty that for any finite field F of odd characteristic and order >= a(n) there is no bijective map m: M_n(F)->M_n(F) such that permanent A = det m(A).

STATUS

proposed

editing

Discussion

Sun Sep 28

05:17

Jon Perry: save youself some time by realizing 'a' is not a primitive root unless k is a divisor of p-1.
bye, so loooong fiends..

#7 by Michel Marcus at Thu Sep 18 02:11:23 EDT 2014

STATUS

editing

proposed

Discussion

Mon Sep 22

04:35

Joerg Arndt: If the conjecture is really just the observation "all terms given are odd", then I suggest to withdraw it.

Sun Sep 28

04:59

Jon Perry: just because 'odd' is in the title, 'dont u forget about me'

#6 by Michel Marcus at Thu Sep 18 02:08:34 EDT 2014

REFERENCES

Alexander Guterman, Pólya permanent problem: 100 years after, http://www.law05.si/law14/presentations/Guterman.pdf, 2014.

LINKS

Alexander Guterman, <a href="http://www.law05.si/law14/presentations/Guterman.pdf">Pólya permanent problem: 100 years after</a>, 2014.

STATUS

proposed

editing

#5 by Jon Perry at Thu Sep 18 02:01:38 EDT 2014

STATUS

editing

proposed

#4 by Jon Perry at Thu Sep 18 02:01:22 EDT 2014

COMMENTS

Conjecture: a(n) is always odd. - Jon Perry, Sep 18 2014

STATUS

approved

editing

Discussion

Thu Sep 18

02:01

Jon Perry: needs an example

#3 by N. J. A. Sloane at Wed Sep 17 21:58:44 EDT 2014

STATUS

editing

approved

#2 by N. J. A. Sloane at Wed Sep 17 21:58:42 EDT 2014

NAME

allocated a(n) has property that for N. J. any finite field F of odd characteristic and order >= a(n) there is no bijective map m: M_n(F)->M_n(F) such that permanent A = det m(A). Sloane

DATA

3, 43, 79, 121, 167, 223, 289, 367, 449, 541, 641, 751, 877, 997, 1151, 1279, 1433, 1597

OFFSET

3,1

REFERENCES

Alexander Guterman, Pólya permanent problem: 100 years after, http://www.law05.si/law14/presentations/Guterman.pdf, 2014.

CROSSREFS

Cf. A059375.

KEYWORD

allocated

nonn,more

AUTHOR

N. J. A. Sloane, Sep 17 2014

STATUS

approved

editing