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A035481 Number of n X n symmetric matrices whose first row is 1..n and whose rows and columns are all permutations of 1..n. 6
1, 1, 1, 1, 4, 6, 456, 6240, 10936320, 1225566720 (list; graph; refs; listen; history; internal format)
OFFSET

0,5

COMMENTS

The odd subsequence is presumably A000438, which gives more terms. The even subsequence is A035483.

EXAMPLE

a(3) = 1 because after 123 in the first row and column, 213 is not allowed for the second row, so it must be 231 and thus the third row is 312.

CROSSREFS

Cf. A000438, A035482, A000315, A002860, A003090, A040082.

Sequence in context: A113838 A056831 A027717 * A061214 A137024 A054264

Adjacent sequences:  A035478 A035479 A035480 * A035482 A035483 A035484

KEYWORD

more,nonn,nice

AUTHOR

Joshua Zucker and Joe Keane (joshua.zucker(AT)stanfordalumni.org)

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Last modified February 16 05:39 EST 2012. Contains 205860 sequences.