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A175882
Number of groupoids of order n with no identity element.
1
1, 0, 12, 19440, 4293918720, 298022460937500000, 10314424627908807366593740800, 256923577502496762167593902921782457650400, 6277101735385253516143083463326608130132905949327651766272, 196627050475552807506414708879663572595247698231546775823411085055396409324160
OFFSET
0,3
FORMULA
a(n) = n^(n^2) - n^(((n-1)^2)+1) = A002489(n) - A090602(n).
PROG
(PARI) a(n) = n^(n^2) - n^(((n-1)^2)+1) \\ Andrew Howroyd, Jan 23 2022
CROSSREFS
Sequence in context: A125547 A159421 A159369 * A216874 A012736 A013750
KEYWORD
nonn
AUTHOR
Matt Westwood, Dec 05 2010
EXTENSIONS
a(0)=1 prepended and terms a(7) and beyond from Andrew Howroyd, Jan 23 2022
STATUS
approved