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A334088
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a(n) = sqrt(Resultant(T(2*n,x/2), T(2*n,i*x/2))), where T(n,x) is a Chebyshev polynomial of the first kind and i = sqrt(-1).
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4
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1, 1, 8, 676, 591872, 5347119376, 497996601804800, 477995151754478453824, 4727827717838439286122217472, 481856411624794348153802518369517824, 506033683217425527860454091268429289861152768
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OFFSET
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0,3
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LINKS
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FORMULA
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MATHEMATICA
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Table[Sqrt[Resultant[ChebyshevT[2*n, x/2], ChebyshevT[2*n, I*x/2], x]], {n, 0, 12}] (* Vaclav Kotesovec, Apr 14 2020 *)
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PROG
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(PARI) {a(n) = sqrtint(polresultant(polchebyshev(2*n, 1, x/2), polchebyshev(2*n, 1, I*x/2)))}
(Python)
from math import isqrt
from sympy.abc import x
from sympy import resultant, chebyshevt, I
def A334088(n): return isqrt(resultant(chebyshevt(n<<1, x/2), chebyshevt(n<<1, I*x/2))) if n else 1 # Chai Wah Wu, Nov 07 2023
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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