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A020518 10th cyclotomic polynomial evaluated at powers of 2. 2

%I #17 Apr 06 2016 04:10:51

%S 1,11,205,3641,61681,1016801,16519105,266354561,4278255361,

%T 68585520641,1098438933505,17583600302081,281406274007041,

%U 4503049938657281,72053196259835905,1152886321308467201,18446462603027742721,295145653396718878721,4722348468539854946305

%N 10th cyclotomic polynomial evaluated at powers of 2.

%H Colin Barker, <a href="/A020518/b020518.txt">Table of n, a(n) for n = 0..830</a>

%H Quynh Nguyen, Jean Pedersen, and Hien T. Vu, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL19/Pedersen/pedersen2.html">New Integer Sequences Arising From 3-Period Folding Numbers</a>, Vol. 19 (2016), Article 16.3.1.

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (31,-310,1240,-1984,1024).

%F G.f.: -(704*x^4-544*x^3+174*x^2-20*x+1) / ((x-1)*(2*x-1)*(4*x-1)*(8*x-1)*(16*x-1)). - _Colin Barker_, Feb 14 2015

%F a(n) = 1-2^n+4^n-8^n+16^n. - _Colin Barker_, Feb 15 2015

%F a(n) = A060884(A000079(n)). - _Michel Marcus_, Apr 06 2016

%p with(numtheory,cyclotomic):seq(cyclotomic(10,2^i),i=0..24);

%o (PARI) a(n) = polcyclo(10, 2^n) \\ _Colin Barker_, Feb 14 2015

%Y Cf. A000079, A060884.

%K nonn,easy

%O 0,2

%A _Simon Plouffe_

%E More terms from _Colin Barker_, Feb 14 2015

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Last modified March 28 04:58 EDT 2024. Contains 371235 sequences. (Running on oeis4.)