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.

A084552 Number of n X n symmetric positive definite matrices with 2's on the main diagonal and -1's and 0's elsewhere.

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%I A084552 #8 Mar 14 2017 18:36:37
%S A084552 1,2,7,38,286,2686,28512,312572,3337588,40963216
%N A084552 Number of n X n symmetric positive definite matrices with 2's on the main diagonal and -1's and 0's elsewhere.
%C A084552 Of course the total number of symmetric matrices of this type (not necessarily positive definite) is 2^C(n,2).
%C A084552 This gives the number of different values of M + M' where M runs through the matrices counted in A127502.
%H A084552 <a href="/index/Mat#binmat">Index entries for sequences related to binary matrices</a>
%e A084552 The singular matrix
%e A084552 2 -1 -1
%e A084552 -1 2 -1
%e A084552 -1 -1 2
%e A084552 is the only 3 X 3 matrix of this type which is not positive definite.
%Y A084552 Cf. A084553, A085659, A080858, A083029.
%K A084552 nonn
%O A084552 1,2
%A A084552 _N. J. A. Sloane_, Jul 13 2003
%E A084552 a(6)-a(10) from _Max Alekseyev_, Jan 16 2006