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a(n) = 11^((n^2-n)/2).
1

%I #12 Apr 01 2019 16:52:08

%S 1,1,11,1331,1771561,25937424601,4177248169415651,

%T 7400249944258160101211,144209936106499234037676064081,

%U 30912680532870672635673352936887453361,72890483685103052142902866787761839379440139451

%N a(n) = 11^((n^2-n)/2).

%C Sequence given by the Hankel transform (see A001906 for definition) of A082173 = {1, 1, 12, 155, 2124, 30482, 453432, 6936799, ...}; example : det([1, 1, 12, 155; 1, 12, 155, 2124; 12, 155, 2124, 30482; 155, 2124, 30482, 453432]) = 11^6 = 1771561.

%F a(n+1) is the determinant of n X n matrix M_(i, j) = binomial(11i, j).

%t Table[11^((n^2-n)/2),{n,0,20}] (* _Harvey P. Dale_, Feb 02 2012 *)

%t Join[{1,1},Table[Det[Table[Binomial[11i,j],{i,n},{j,n}]],{n,10}]] (* _Harvey P. Dale_, Apr 01 2019 *)

%Y Cf. : A006125, A047656, A053763, A053764, A109345, A109354, A109493, A109966, A110147.

%K nonn

%O 0,3

%A _Philippe Deléham_, Sep 07 2005

%E a(11) from Harvey P. Dale, Feb 02 2012