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A260043 Irregular triangle read by rows: T(n,k) (n >= 1, 0 <= k <= n^2) = number of n X n (0,1) real matrices with k zeros and permanent zero. 0

%I #9 Jul 22 2015 22:39:01

%S 0,1,0,0,4,4,1,0,0,0,6,45,90,78,36,9,1,0,0,0,0,8,96,576,2128,4860,676,

%T 6496,4080,1796,560,120,16,1,0,0,0,0,0,10,200,1900,11500,50025,166720,

%U 439600,923700,1534800,1994200,2010920,1571525,956775,458500,174700,53010,12650,2300,300,25,1

%N Irregular triangle read by rows: T(n,k) (n >= 1, 0 <= k <= n^2) = number of n X n (0,1) real matrices with k zeros and permanent zero.

%D M. B. Wells, Elements of Combinatorial Computing. Pergamon, Oxford, 1971, see p. 240.

%H M. B. Wells, <a href="/A000170/a000170.pdf">Elements of Combinatorial Computing</a>, Pergamon, Oxford, 1971. [Annotated scanned copy of pages 237-240]

%e Triangle begins:

%e 0,1,

%e 0,0,4,4,1,

%e 0,0,0,6,45,90,78,36,9,1,

%e 0,0,0,0,8,96,576,2128,4860,676,6496,4080,1796,560,120,16,1,

%e 0,0,0,0,0,10,200,1900,11500,50025,166720,439600,923700,1534800,1994200,2010920,1571525,956775,458500,174700,53010,12650,2300,300,25,1,

%e ...

%K nonn,tabf

%O 1,5

%A _N. J. A. Sloane_, Jul 22 2015

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Last modified August 15 07:32 EDT 2024. Contains 375173 sequences. (Running on oeis4.)