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A089479
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Triangle T(n,k) read by rows, where T(n,k) = number of times the permanent of a real n X n (0,1)-matrix takes the value k, for n >= 1, 0 <= k <= n!.
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6
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1, 1, 9, 6, 1, 265, 150, 69, 18, 9, 0, 1, 27713, 13032, 10800, 4992, 4254, 1440, 1536, 576, 648, 24, 288, 96, 48, 0, 72, 0, 0, 0, 16, 0, 0, 0, 0, 0, 1, 10363361, 3513720, 4339440, 2626800, 3015450, 1451400, 1872800, 962400, 1295700, 425400, 873000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| The last element of each row is 1, corresponding to the n X n "all 1" matrix with permanent=n!. The first 4 rows were provided by Wouter Meeussen (wouter.meeussen(AT)pandora.be). The 6th row was computed by Gordon Royle (gordon(AT)maths.uwa.edu.au): 13906734081,2722682160,4513642920,3177532800,4466769300,2396826720,3710999520, 2065521600,3253760550,1468314000,2641593600,1350475200,2210277600,1034061120,...
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CROSSREFS
| T(n, 0)=A088672(n), T(n, 1)=A089482(n). The n-th row of the table contains A087983(n) nonzero entries. For n>2 A089477(n) gives the position of the first zero entry in the n-th row. Cf. A089480 occurrence counts for permanents of non-singular (0, 1)-matrices, A089481 occurrence counts for permanents of singular (0, 1)-matrices.
Sequence in context: A198582 A199082 A064230 * A199431 A154899 A011219
Adjacent sequences: A089476 A089477 A089478 * A089480 A089481 A089482
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KEYWORD
| nonn,tabf
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AUTHOR
| Hugo Pfoertner (hugo(AT)pfoertner.org), Nov 05 2003
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