cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A015582 Inverse of 1573rd cyclotomic polynomial.

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%I A015582 #39 Oct 06 2019 03:05:15
%S A015582 1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,
%T A015582 0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,
%U A015582 0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1
%N A015582 Inverse of 1573rd cyclotomic polynomial.
%C A015582 Periodic with period length 1573. - _Ray Chandler_, Apr 07 2017
%H A015582 Ray Chandler, <a href="/A015582/b015582.txt">Table of n, a(n) for n = 0..2000</a>
%H A015582 <a href="/index/Rec#order_1320">Index entries for linear recurrences with constant coefficients</a>, order 1320.
%H A015582 <a href="/index/Pol#poly_cyclo_inv">Index to sequences related to inverse of cyclotomic polynomials</a>
%F A015582 cyclotomic(1573,x) is a polynomial of 120th order in the variable x^11, so it is c = 1 - x^11 - x^132 + x^264 + ... + x^1320, or with y = x^11 we can write c = 1 - y + y^11 - y^12 + y^13 - y^14 ... + y^120. - _R. J. Mathar_, Oct 20 2008
%p A015582 with(numtheory,cyclotomic); c := n->series(1/cyclotomic(n, x), x,80); c(1573);
%t A015582 CoefficientList[Series[1/Cyclotomic[1573, x], {x, 0, 100}], x][[;; 81]] (* _Jean-François Alcover_, Jul 05 2011 *)
%Y A015582 Different from A014856 and A100910.
%K A015582 sign
%O A015582 0,1
%A A015582 _Simon Plouffe_
%E A015582 Incorrect formula deleted by _N. J. A. Sloane_, Oct 20 2008