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A001424 Number of nonisomorphic and nonantiisomorphic groupoids with n elements.
(Formerly M4465 N1894)
+0
4
1, 1, 7, 1734, 89521056, 1241763995193675, 7162795001695681351632672, 25488450150907292192918677242007992558, 77841043345568973636021269757801814299054870565039692 (list; graph; listen)
OFFSET

0,3

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

T. Tamura, Some contributions of computation to semigroups and groupoids, pp. 229-261 of J. Leech, editor, Computational Problems in Abstract Algebra. Pergamon, Oxford, 1970.

LINKS

Eric Postpischil Posting to sci.math newsgroup, May 21 1990

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for sequences related to groupoids

FORMULA

a(n) = (A001329(n) + A029850(n))/2

CROSSREFS

Cf. A001329, A029850.

Sequence in context: A145451 A144676 A125537 this_sequence A055318 A117661 A145253

Adjacent sequences: A001421 A001422 A001423 this_sequence A001425 A001426 A001427

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Better description and corrected 4th term from Christian Bower (bowerc(AT)usa.net), Jan 15 1998. More terms, Jun 15 1998.

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Last modified December 17 19:39 EST 2009. Contains 170821 sequences.


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