The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A090602 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A090602

Number of n-element labeled groupoids with an identity.
(history; published version)

#15 by Alois P. Heinz at Sun Jan 23 18:26:46 EST 2022

STATUS

proposed

approved

#14 by Andrew Howroyd at Sun Jan 23 18:09:01 EST 2022

STATUS

editing

proposed

#13 by Andrew Howroyd at Sun Jan 23 17:08:39 EST 2022

CROSSREFS

Cf. A090601 (non-isomorphic caseisomorphism classes), A090603.

#12 by Andrew Howroyd at Sun Jan 23 16:50:43 EST 2022

LINKS

Wikipedia, <a href="https://en.wikipedia.org/wiki/Magma_(algebra)">Magma (algebra)</a>

#11 by Andrew Howroyd at Sun Jan 23 16:49:19 EST 2022

LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Groupoid.html">Groupoid.</a>

Wikipedia, <a href="https://en.wikipedia.org/wiki/Magma_(algebra)">Magma</a>

#10 by Andrew Howroyd at Sun Jan 23 16:34:10 EST 2022

DATA

0, 1, 4, 243, 1048576, 762939453125, 170581728179578208256, 18562115921017574302453163671207, 1427247692705959881058285969449495136382746624, 106111661199647248543687855752712667991103904330482569981872649

OFFSET

1,2

0,3

LINKS

Andrew Howroyd, <a href="/A090602/b090602.txt">Table of n, a(n) for n = 0..20</a>

FORMULA

a(n) = n^((n-1)^2+1).

a(n) = A090603(n)*n.

PROG

(PARI) a(n) = n^((n-1)^2+1) \\ Andrew Howroyd, Jan 23 2022

CROSSREFS

a(n) = A090603(n)*n. Cf. A090601.

Cf. A090601 (non-isomorphic case), A090603.

EXTENSIONS

a(0)=0 prepended and a(9) added by Andrew Howroyd, Jan 23 2022

STATUS

approved

editing

#9 by R. J. Mathar at Fri Jan 11 14:12:33 EST 2013

STATUS

editing

approved

#8 by R. J. Mathar at Fri Jan 11 14:12:30 EST 2013

LINKS

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Groupoid.html">Link to a section of The World of MathematicsGroupoid.</a>

STATUS

approved

editing

#7 by Russ Cox at Fri Mar 30 17:37:13 EDT 2012

AUTHOR

_Christian G. Bower (bowerc(AT)usa.net), _, Dec 05 2003

Discussion

Fri Mar 30

17:37

OEIS Server: https://oeis.org/edit/global/178

#6 by Russ Cox at Sun Jul 10 18:42:32 EDT 2011

LINKS

<a href="/Sindx_index/Gre.html#groupoids">Index entries for sequences related to groupoids</a>

Discussion

Sun Jul 10

18:42

OEIS Server: https://oeis.org/edit/global/46