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%I #7 Oct 27 2023 22:00:47
%S 0,-9,32,-337,319,-347,1609,-21569,21911,-82601,12211,-247249,50003,
%T -624457,16297,-42209,91127,-91159,488749,-1773467,1782853,-9429289,
%U 6156767,-548213,376169,-25705577,732761,-84793,343823,-60683401,36941321,-89392129,53762297,-1478431
%N Numerators of the determinant of matrix (M(n) - H(n)), where H(n) is the n-th Hilbert matrix and M(n) is an n X n matrix with i,j-th entry i+j-1.
%C The n-th Hilbert matrix is an n X n matrix with i,j-th entry 1/(i+j-1). Thus (M(n) - H(n)) has i,j-th entry (i+j-1) - 1/(i+j-1).
%Y Cf. A005249.
%K sign,frac
%O 1,2
%A _Asher Auel_, May 20 2001
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