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A133644
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Triangle read by rows: T(n,k) (n >= 1, 1 <= k <= n) = largest permanent of any n X n (0,1) matrix with k 1's in each row and column.
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1
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1, 1, 2, 1, 2, 6, 1, 4, 9, 24, 1, 4, 13, 44, 120, 1, 8, 36, 82, 265, 720, 1, 8, 54, 148, 580, 1854, 5040, 1, 16, 81, 576, 1313, 4752, 14833, 40320, 1, 16, 216, 1056, 2916, 12108, 43424, 133496, 362880, 1, 32, 324, 1968, 14400, 32826, 127044, 440192, 1334961, 3628800, 1, 32, 486, 3608, 31800, 86400, 373208, 1448640, 4893072, 14684570, 39916800
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OFFSET
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1,3
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REFERENCES
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L. Hogben, ed., Handbook of Linear Algebra, pp. 31-6, 31-7.
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LINKS
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Table of n, a(n) for n=1..66.
G.-S. Cheon and I. M. Wanless, An update on Minc's survey on open problems involving permanents, Lin. Alg. Applic., 403 (2005), 314-342.
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EXAMPLE
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Triangle begins:
1
1,2
1,2,6
1,4,9,24
1,4,13,44,120
1,8,36,82,265,720
1,8,54,148,580,1854,5040
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CROSSREFS
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Sequence in context: A232483 A338870 A265894 * A265870 A341409 A284466
Adjacent sequences: A133641 A133642 A133643 * A133645 A133646 A133647
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KEYWORD
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nonn,tabl
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AUTHOR
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N. J. A. Sloane, Dec 17 2007
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STATUS
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approved
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