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 A240467 Inverse of 152nd cyclotomic polynomial. 35
 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0 COMMENTS Periodic with period length 152. - Ray Chandler, Apr 03 2017 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 LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, 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). MATHEMATICA CoefficientList[Series[1/Cyclotomic[152, x], {x, 0, 200}], x] PROG (PARI) Vec(1/polcyclo(152) + O(x^99)) \\ Jinyuan Wang, Feb 28 2020 CROSSREFS Cf. similar sequences (namely 1/Phi(N), N <= 75) listed in A240328. 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). Sequence in context: A089510 A138885 A185115 * A014065 A014049 A016371 Adjacent sequences:  A240464 A240465 A240466 * A240468 A240469 A240470 KEYWORD sign,easy AUTHOR Vincenzo Librandi, Apr 06 2014 STATUS approved

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Last modified May 15 01:50 EDT 2021. Contains 343909 sequences. (Running on oeis4.)