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 A210356 Maximum modulus in the inverse of Hilbert's matrix. 5
 1, 12, 192, 6480, 179200, 4410000, 133402500, 4249941696, 122367445200, 3480673996800, 117643011932160, 3659449159080000, 106518477825760000, 3521767173114190000, 114708987924290760000, 3525270042097046880000, 110552468520163390156800 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 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. LINKS T. D. Noe, Table of n, a(n) for n = 1..100 MATHEMATICA Table[im = Inverse[HilbertMatrix[n]]; Max[Abs[Flatten[im]]]], {n, 20}] PROG (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 CROSSREFS Cf. A061065, A189765 (inverse matrix), A210357, A210358 (minimum). Sequence in context: A272959 A095351 A061065 * A328261 A264603 A296841 Adjacent sequences: A210353 A210354 A210355 * A210357 A210358 A210359 KEYWORD nonn AUTHOR T. D. Noe, Mar 28 2012 STATUS approved

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Last modified December 10 04:38 EST 2023. Contains 367699 sequences. (Running on oeis4.)