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%I #25 Feb 28 2020 08:19:32
%S 1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
%T 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
%U 0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0
%N Inverse of 152nd cyclotomic polynomial.
%C Periodic with period length 152. - _Ray Chandler_, Apr 03 2017
%C In general the expansion of 1/Phi(N) is N-periodic, but also satisfies a linear recurrence of lower order given by degree(Phi(N)) = phi(N) = A000010(N) < N. The signature is given by the coefficients of (1-Phi(N)). - _M. F. Hasler_, Feb 18 2018
%H Vincenzo Librandi, <a href="/A240467/b240467.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_72">Index entries for linear recurrences with constant coefficients</a>, order 72, signature (0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1).
%H <a href="/index/Pol#poly_cyclo_inv">Index to sequences related to inverse of cyclotomic polynomials</a>
%t CoefficientList[Series[1/Cyclotomic[152, x], {x, 0, 200}], x]
%o (PARI) Vec(1/polcyclo(152) + O(x^99)) \\ _Jinyuan Wang_, Feb 28 2020
%Y Cf. similar sequences (namely 1/Phi(N), N <= 75) listed in A240328.
%Y Cf. also A240465 (76), A014086 (77), A014087 (78), A014093 (84), A014094 (85), A014096 (87), A014099 (90), A014100 (91), A014102 (93), A014104 (95), A014108 (99), A014111 (102), A014114 (105), A014119 (110), A014123 (114), A014124 (115), A014128 (119), A014129 (120), A014135 (126), A014139 (130), A014141 (132), A014142 (133), A014147 (138), A014149 (140), A014152 (143), A014154 (145), A014159 (150), A014163 (154) - A014165 (156), A014170 (161), A014174 (165), A014177 (168), A014179 (170), A014183 (174), A014184 (175), A014189 (180), A014191 (182), A014194 (185) - A014196 (187), A014199 (190), A014204 (195), A014207 (198), A014212 (203), A014218 (209), A014219 (210), A014226 (217), A014229 (220), A014230 (221), A014239 (230), A014240 (231), A014247 (238), A014256 (247), A014262 (253).
%K sign,easy
%O 0
%A _Vincenzo Librandi_, Apr 06 2014
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