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A063705 Cyclotomic polynomials Phi_n at x=phi, rounded to nearest integer (where phi = tau = (sqrt(5)+1)/2). 4

%I #21 Feb 27 2024 06:49:41

%S 2,1,3,5,4,16,2,45,8,23,5,320,5,841,11,26,48,5776,15,15125,34,167,76,

%T 103680,41,16626,199,5855,233,1860496,56,4870845,2208,7602,1364,45081,

%U 305,87403801,3571,51941,1926,599074576,407,1568397605,10946,80321

%N Cyclotomic polynomials Phi_n at x=phi, rounded to nearest integer (where phi = tau = (sqrt(5)+1)/2).

%H Robert Israel, <a href="/A063705/b063705.txt">Table of n, a(n) for n = 0..2500</a>

%H <a href="/index/Cy#CyclotomicPolynomialsValuesAtPhi">Index entries for cyclotomic polynomials, values at phi</a>

%p with(numtheory); Phi_at_x := (n,y) -> subs(x=y,cyclotomic(n,x)); [seq(round(evalf(simplify(Phi_at_x(j,(sqrt(5)+1)/2)))),j=0..120)];

%t Join[{2}, Round[Simplify[Cyclotomic[Range[50], GoldenRatio]]]] (* _Paolo Xausa_, Feb 27 2024 *)

%Y Cf. A019320, A063703, A063707, A063706.

%K nonn

%O 0,1

%A _Antti Karttunen_, Aug 03 2001

%E a(43) corrected by _Sean A. Irvine_, May 08 2023

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Last modified April 19 14:50 EDT 2024. Contains 371792 sequences. (Running on oeis4.)