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A210357 Location of the maximum modulus in the inverse of Hilbert's matrix. 4
1, 2, 2, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 13, 14, 15, 15, 16, 17, 17, 18, 19, 19, 20, 21, 22, 22, 23, 24, 24, 25, 26, 27, 27, 28, 29, 29, 30, 31, 31, 32, 33, 34, 34, 35, 36, 36, 37, 38, 39, 39, 40, 41, 41, 42, 43, 44, 44, 45, 46, 46, 47, 48, 48 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The maximum value always occurs on the diagonal. These numbers are close to n/sqrt(2).

LINKS

T. D. Noe, Table of n, a(n) for n = 1..1000

MATHEMATICA

Table[im = Inverse[HilbertMatrix[n]]; pos = Position[im, Max[Abs[Flatten[im]]]]; If[Length[pos] > 1, Print[{n, pos}]; 0, pos[[1, 1]]], {n, 70}]

Table[t = Table[(2*i-1) Binomial[n+i-1, n-i]^2 * Binomial[2*i-2, i-1]^2, {i, n}]; Position[t, Max[t]][[1, 1]], {n, 100}]

CROSSREFS

Cf. A210356 (largest element in the inverse of Hilbert's matrix).

Sequence in context: A064726 A274616 A257175 * A057359 A076538 A138466

Adjacent sequences:  A210354 A210355 A210356 * A210358 A210359 A210360

KEYWORD

nonn

AUTHOR

T. D. Noe, Mar 28 2012

STATUS

approved

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Last modified August 7 15:30 EDT 2020. Contains 336276 sequences. (Running on oeis4.)