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A054373 Table of resultants for Hermite polynomials H_k(x) and H_n(x). 2

%I

%S 0,-8,0,0,-2048,0,192,16384,28311552,0,0,-1179648,0,29686813949952,0,

%T -7680,67108864,-289910292480,5699868278390784,

%U -3039929748475084800000,0,0,-838860800,0,1094374709451030528,0,-37180135792929290696471347200000

%N Table of resultants for Hermite polynomials H_k(x) and H_n(x).

%H G. C. Greubel, <a href="/A054373/b054373.txt">Rows n=1..30 of triangle, flattened</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HermitePolynomial.html">Hermite Polynomial.</a>

%H <a href="/index/He#Hermite">Index entries for sequences related to Hermite polynomials</a>

%e {0},

%e {-8, 0},

%e {0, -2048, 0},

%e {192, 16384, 28311552, 0},

%e {0, -1179648, 0, 29686813949952, 0},

%e {-7680, 67108864, -289910292480, 5699868278390784, -3039929748475084800000, 0}

%t Flatten[Table[Resultant[HermiteH[n, x], HermiteH[k, x], x], {k, 20}, {n, k}]]

%o (PAEI) T(n, k) = polresultant(polhermite(n), polhermite(k)); \\ _Michel Marcus_, Jul 10 2018

%K sign,easy,tabl

%O 1,2

%A _Eric W. Weisstein_

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Last modified February 25 22:44 EST 2020. Contains 332270 sequences. (Running on oeis4.)