A380297 Denominators 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.

1, 1, 4, 135, 403200, 2778300000, 483930961920000, 7180239749742259200000, 5799315033741817236160512000000, 6429886152366060611794081018183680000000, 466736302504188801174703321606427057848320000000000, 23001739511849592885668155296556060490333421994770432000000000

Offset

0,3

Links

Table of n, a(n) for n=0..11.

Mathematica

a[n_]:=Denominator[Det[Table[(i+j-1) - 1/(i+j-1), {i, n}, {j, n}]]]; Join[{1}, Array[a, 11]]

Prog

(PARI) a(n) = denominator(matdet(matrix(n, n, i, j, (i+j-1) - 1/(i+j-1)))); \\ Michel Marcus, Jan 19 2025

Crossrefs

Cf. A061913 (numerators).

Sequence in context: A045482 A263588 A006429 * A016483 A102986 A012160

Adjacent sequences: A380294 A380295 A380296 * A380298 A380299 A380300

Keyword

nonn,frac

Author

Stefano Spezia, Jan 19 2025

Status

approved