cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A076113 a(n) = n^(n*(n-1)/2).

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%I A076113 #26 Jul 10 2025 16:04:25
%S A076113 1,1,2,27,4096,9765625,470184984576,558545864083284007,
%T A076113 19342813113834066795298816,22528399544939174411840147874772641,
%U A076113 1000000000000000000000000000000000000000000000,1890591424712781041871514584574319778449301246603238034051
%N A076113 a(n) = n^(n*(n-1)/2).
%C A076113 Number of labeled commutative idempotent groupoids with n elements. [edited by _Michel Marcus_, Jul 10 2025]
%C A076113 Product of terms in n-th row of A076112.
%H A076113 Alois P. Heinz, <a href="/A076113/b076113.txt">Table of n, a(n) for n = 0..36</a>
%H A076113 <a href="/index/Gre#groupoids">Index entries for sequences related to groupoids</a>
%o A076113 (PARI) a(n) = n^(n*(n-1)/2); \\ _Joerg Arndt_, Nov 04 2013
%Y A076113 Cf. A000169, A002489, A006125, A023037, A030257, A076112, A090588.
%K A076113 easy,nonn
%O A076113 0,3
%A A076113 _Amarnath Murthy_, Oct 09 2002
%E A076113 More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 20 2003
%E A076113 a(0)=1 prepended by _Alois P. Heinz_, Jun 30 2022