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A067228 Number of Young tableaux with n=i*j cells and type i*j matrices. +0
1
1, 2, 2, 4, 2, 12, 2, 30, 44, 86, 2, 1190, 2, 860, 12014, 26886, 2, 184758, 2, 3359202, 2771342, 117574, 2, 327618902, 701149022, 1485802, 828630662, 27350160662, 2, 808310933492, 2, 2979826568702, 291724349282, 259289582, 557214344578322 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n) = number of ways to arrange the numbers 1, 2, .., n=i*j in i*j matrices so that each row and each column is increasing.

CROSSREFS

Cf. A000085, A060854.

Sequence in context: A111741 A111793 A064482 this_sequence A010026 A059427 A126984

Adjacent sequences: A067225 A067226 A067227 this_sequence A067229 A067230 A067231

KEYWORD

easy,nonn

AUTHOR

Naohiro Nomoto (n_nomoto(AT)yabumi.com), Feb 20 2002

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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