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 A295427 a(n) is the denominator of det(I+H) where H is the n X n Hilbert matrix. 2
 1, 12, 1080, 224000, 14817600000, 186313420339200000, 1033954523962885324800000, 365356847125734485878112256000000, 514390892189284848943526481454694400000000, 15402297982638230438765209613012092908994560000000000, 5520417482843902292560357271173454517680021278744903680000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Robert Israel, Table of n, a(n) for n = 1..41 MathOverflow, Determinant of identity matrix plus Hilbert matrix, 2018. FORMULA det(I+H) = Sum_{subsets S of {1,2,...,n}} Product_{1<=i denom(LinearAlgebra:-Determinant(LinearAlgebra:-IdentityMatrix(n)+LinearAlgebra:-HilbertMatrix(n))): map(f, [\$1..30]); MATHEMATICA a[n_] := Det[IdentityMatrix[n] + HilbertMatrix[n]] // Denominator; Array[a, 11] (* Jean-François Alcover, Feb 26 2018 *) PROG (PARI) A295427(n) = denominator( matdet( matrix(n, n, i, j, 1/(i+j-1)+(i==j)) ) ); \\ Max Alekseyev, Feb 16 2018 CROSSREFS Numerators are given in A295426. Sequence in context: A004812 A088671 A274117 * A354822 A260030 A160010 Adjacent sequences: A295424 A295425 A295426 * A295428 A295429 A295430 KEYWORD nonn,frac AUTHOR Robert Israel, Feb 12 2018 STATUS approved

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Last modified August 12 10:46 EDT 2024. Contains 375092 sequences. (Running on oeis4.)