cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A210356 Maximum modulus in the inverse of Hilbert's matrix.

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%I A210356 #14 Jun 13 2025 01:09:31
%S A210356 1,12,192,6480,179200,4410000,133402500,4249941696,122367445200,
%T A210356 3480673996800,117643011932160,3659449159080000,106518477825760000,
%U A210356 3521767173114190000,114708987924290760000,3525270042097046880000,110552468520163390156800
%N A210356 Maximum modulus in the inverse of Hilbert's matrix.
%C A210356 This sequence corrects A061065, which was wrong for n > 6. These values appear at the A210357(n) position on the diagonal. Thanks to Clark Kimberling for verifying this sequence.
%H A210356 T. D. Noe, <a href="/A210356/b210356.txt">Table of n, a(n) for n = 1..100</a>
%t A210356 Table[im = Inverse[HilbertMatrix[n]]; Max[Abs[Flatten[im]]], {n, 20}]
%o A210356 (PARI) for(n=1,17, my(h=1/mathilbert(n),s=0); for(j=1,n, for(k=1,n, s=max(s,h[j,k]))); print1(s,", ")) \\ _Hugo Pfoertner_, Feb 11 2020
%Y A210356 Cf. A061065, A189765 (inverse matrix), A210357, A210358 (minimum).
%K A210356 nonn
%O A210356 1,2
%A A210356 _T. D. Noe_, Mar 28 2012