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Revision History for A224575

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Number of (n+5) X 11 0..1 matrices with each 6 X 6 subblock idempotent.
(history; published version)
#8 by Joerg Arndt at Mon Jul 21 01:15:32 EDT 2014
STATUS

reviewed

approved

#7 by Michel Marcus at Mon Jul 21 00:55:49 EDT 2014
STATUS

proposed

reviewed

#6 by Wesley Ivan Hurt at Sun Jul 20 22:32:01 EDT 2014
STATUS

editing

proposed

#5 by Wesley Ivan Hurt at Sun Jul 20 22:31:39 EDT 2014
NAME

Number of (n+5)X11 X 11 0..1 matrices with each 6X6 6 X 6 subblock idempotent.

COMMENTS

Column 6 of A224577.

FORMULA

Empirical: a(n) = 3*a(n-1) -3*a(n-2) +a(n-3) +2*a(n-6) -5*a(n-7) +4*a(n-8) -a(n-9) -a(n-12) +2*a(n-13) -a(n-14) , for n>18.

EXAMPLE

Some solutions for n=2:

AUTHOR

R. H. Hardin , Apr 10 2013

STATUS

approved

editing

#4 by R. H. Hardin at Wed Apr 10 18:35:03 EDT 2013
STATUS

editing

approved

#3 by R. H. Hardin at Wed Apr 10 18:35:00 EDT 2013
LINKS

R. H. Hardin, <a href="/A224575/b224575.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Wed Apr 10 18:34:44 EDT 2013
NAME

allocated for R. H. Hardin

Number of (n+5)X11 0..1 matrices with each 6X6 subblock idempotent

DATA

25769, 7386, 7884, 8714, 9480, 10086, 10561, 12373, 15413, 19404, 24072, 29230, 34734, 41919, 52000, 65945, 84434, 107959, 136853, 172795, 218668, 278353, 356397, 457838, 588032, 754025, 965735, 1236991, 1586155, 2036626, 2617144, 3363506

OFFSET

1,1

COMMENTS

Column 6 of A224577

FORMULA

Empirical: a(n) = 3*a(n-1) -3*a(n-2) +a(n-3) +2*a(n-6) -5*a(n-7) +4*a(n-8) -a(n-9) -a(n-12) +2*a(n-13) -a(n-14) for n>18

EXAMPLE

Some solutions for n=2

..1..1..1..1..1..0..0..0..0..0..0....0..1..0..0..0..0..0..0..0..0..0

..0..0..0..0..0..0..0..0..0..0..0....0..1..0..0..0..0..0..0..0..0..0

..0..0..0..0..0..0..0..0..0..0..1....0..1..0..0..0..0..0..0..0..0..1

..0..0..0..0..0..0..0..0..0..0..0....0..1..0..0..0..0..0..0..0..0..1

..0..0..0..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0..0..0..1

..0..0..0..0..0..0..0..0..0..0..1....0..0..0..0..0..0..0..0..0..0..1

..0..0..0..0..0..0..0..0..0..0..1....0..0..0..0..0..0..0..0..0..0..1

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin Apr 10 2013

STATUS

approved

editing

#1 by R. H. Hardin at Wed Apr 10 18:27:52 EDT 2013
NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved