A061913 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.

0, -9, 32, -337, 319, -347, 1609, -21569, 21911, -82601, 12211, -247249, 50003, -624457, 16297, -42209, 91127, -91159, 488749, -1773467, 1782853, -9429289, 6156767, -548213, 376169, -25705577, 732761, -84793, 343823, -60683401, 36941321, -89392129, 53762297, -1478431

Offset

1,2

Comments

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).

Links

Table of n, a(n) for n=1..34.

Crossrefs

Cf. A005249.

Sequence in context: A317279 A196016 A183426 * A264512 A231764 A208136

Adjacent sequences: A061910 A061911 A061912 * A061914 A061915 A061916

Keyword

sign,frac

Author

Asher Auel, May 20 2001

Status

approved