Search: id:A137316
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%I A137316
%S A137316 1,1,2,2,6,4,2,6,6,4,8,8,24,168,6,48,4,20,10,4,12,12,12,24,12,6,42,8
%N A137316 Array read by rows: T(n,k) is the number of automorphisms of the k^th 
               group of order n, where the ordering is such that the rows are non-decreasing.
%C A137316 The length of the n^th row is A000001(n).
%C A137316 The largest value of the n^th row is A059773(n).
%C A137316 The number phi(n) = A000010(n) appears in the n^th row.
%D A137316 D. MacHale and R. Sheehy, Finite groups with few automorphisms, Math. 
               Proc. Roy. Irish Acad., 104A(2) (2004), 231-238
%e A137316 The table begins as follows:
%e A137316 1
%e A137316 1
%e A137316 2
%e A137316 2 6
%e A137316 4
%e A137316 The first row with two numbers corresponds to the two groups of order 
               4, the cyclic group Z_4 and the Klein group Z_2 x Z_2, whose automorphism 
               groups are respectively the group (Z_4)^x = Z_2 and the symmetric 
               group S_3.
%Y A137316 Cf. A064767, A060249, A060817, A062771, A060249, A002618, A061350.
%Y A137316 Sequence in context: A092384 A061915 A138565 this_sequence A064851 A134458 
               A009279
%Y A137316 Adjacent sequences: A137313 A137314 A137315 this_sequence A137317 A137318 
               A137319
%K A137316 more,nonn,tabf
%O A137316 1,3
%A A137316 Benoit Jubin (benoit_jubin(AT)yahoo.fr), Apr 06 2008, Apr 15 2008

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