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A350351 Array read by antidiagonals: T(n,k) is the determinant of the Hankel matrix of the 2*n-1 consecutive terms of A350330 starting at the k-th term, n >= 0, k >= 1. 1

%I #7 Jan 04 2022 16:27:09

%S 1,1,1,1,1,1,1,2,-3,-4,1,1,1,-4,-4,1,1,1,-3,3,-1,1,2,-2,-3,-3,-5,13,1,

%T 2,-2,-5,8,14,-27,-40,1,1,3,-3,2,4,13,-22,-68,1,2,-3,-3,-1,3,-3,10,48,

%U 96,1,1,1,-4,-4,3,3,2,-48,96,80

%N Array read by antidiagonals: T(n,k) is the determinant of the Hankel matrix of the 2*n-1 consecutive terms of A350330 starting at the k-th term, n >= 0, k >= 1.

%C By definition of A350330, no term is zero.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Hankel_matrix">Hankel matrix</a>

%e Array begins:

%e n\k| 1 2 3 4 5 6 7 8

%e ---+--------------------------------

%e 0 | 1 1 1 1 1 1 1 1

%e 1 | 1 1 2 1 1 2 2 1

%e 2 | 1 -3 1 1 -2 -2 3 -3

%e 3 | -4 -4 -3 -3 -5 -3 -3 -4

%e 4 | -4 3 -3 8 2 -1 -4 -4

%e 5 | -1 -5 14 4 3 3 -1 7

%e 6 | 13 -27 13 -3 3 -5 13 11

%e 7 | -40 -22 10 2 -14 -32 -36 -46

%e 8 | -68 48 -48 52 -40 16 8 27

%Y Cf. A350330.

%K sign,tabl

%O 0,8

%A _Pontus von Brömssen_, Dec 26 2021

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Last modified August 23 05:54 EDT 2024. Contains 375375 sequences. (Running on oeis4.)