Index to OEIS: Section Cy
cycle index , sequences related to :
- cycle index in Maple: see A036658;
- cycle index of representations of groups: A000292 (D_6); A002817 (D_8); A006008 (A_4); A000389, A063843 (S_5); A000543, A047780, A060530 (group of cube)
- cycle index of symmetric group S_n for n = 1..27 in Maple: see link in A000142;
Cycles in x -> x^2 mod n: A023153
cyclic group: see groups, cyclic
cyclic numbers: A003277*, A001914, A001913
Cyclic:: A002885, A007039, A006205, A007040, A006609, A002956, A005666, A006204, A007687, A007688, A005665, A000804, A000805
cyclotomic cosets: A064285, A064286, A064287
cyclotomic fields, sequences related to :
- cyclotomic fields, class numbers of: A000927 (first factor h-), A055513 (class number h), A061653, A035115
- cyclotomic fields, with class number 1: A005848
cyclotomic polynomials, sequences related to :
- see also: Index section Pol: inverse of cyclotomic polynomials
- cyclotomic polynomials, degree of: A000010 (= Euler's totient function φ)
- cyclotomic polynomials, inverse of: The expansion of 1/ΦN = 1/Phi(N) is N-periodic, see Index to periodic sequences. It satisfies also a linear recurrence of order degree(ΦN) = A000010(N) < N, see Index entries for linear recurrences. The expansions are given in sequences A007273, A010891, A010892, A014016 - A016327, A033999, A049347, A056594, A240328 .. A240467 and A291137 (table of all the previous sequences). See Index section Pol: inverse of cyclotomic polynomials for an extensive list.
cyclotomic polynomials, coefficients of, sequences related to :
- cyclotomic polynomials, largest coefficient of: A013594*, A046887
- cyclotomic polynomials, number of coefficients: A051664
- cyclotomic polynomials, positions of coefficients: A063696, A063697, A063698, A063699, A063670, A063671
- cyclotomic polynomials, triangle of coefficients of: A013595*, A013596*
cyclotomic polynomials, values at phi , sequences related to :
- cyclotomic polynomials, values at phi = (sqrt(5)+1)/2: A063703, A063705, A063707
cyclotomic polynomials, values at x = integers, sequences related to :
- cyclotomic polynomials, values at x (square array): A253240
- cyclotomic polynomials, values at x = -1 to -13: A020513, A020501, A020502, A020503, A020504, A020505, A020506, A020507, A020508, A020509, A020510, A020511, A020512
- cyclotomic polynomials, values at x = 0 to 13: A158388, A020500, A019320, A019321, A019322, A019323, A019324, A019325, A019326, A019327, A019328, A019329, A019330, A019331
- cyclotomic polynomials, values at x = 2^n: A070526, A070527
- cyclotomic polynomials, values at x = EulerPhi(n): A070524, A070525
- cyclotomic polynomials, values at x = n: A070518, A070519, A070520, A070521
- cyclotomic polynomials, values at x = prime(n): A070522, A070523
- cyclotomic polynomials, values at x = integer: A000012 (Phi_0(n)) A023443 (Phi_1(n)) A000027 (Phi_2(n)) A002061 (Phi_3(n)) A002522 (Phi_4(n)) A053699 (Phi_5(n)) A002061 (Phi_6(n)) A053716 (Phi_7(n)) A002523 (Phi_8(n)) A060883 (Phi_9(n)) A060884 (Phi_10(n)) A060885 (Phi_11(n)) A060886 (Phi_12(n)) A060887 (Phi_13(n)) A060888 (Phi_14(n)) A060889 (Phi_15(n)) A060890 (Phi_16(n)) A269442 (Phi_17(n)) A060891 (Phi_18(n)) A269446 (Phi_19(n)) A060892 (Phi_20(n)) A269483 (Phi_21(n)) A269486 (Phi_22(n)) A060893 (Phi_24(n)) A269527 (Phi_25(n)) A266229 (Phi_26(n)) A270204 (Phi_28(n)) A060894 (Phi_30(n)) A060895 (Phi_32(n)) A060896 (Phi_36(n))
- cyclotomic polynomials, values at x = integer (is prime): A008864 (1), A006093 (2), A002384 (3), A005574 (4), A049409 (5), A055494 (6), A100330 (7), A000068 (8), A153439 (9), A246392 (10), A162862 (11), A246397 (12), A217070 (13), A250174 (14), A250175 (15), A006314 (16), A217071 (17), A164989 (18), A217072 (19), A250176 (20), A250177 (21), A250178 (22), A217073 (23), A250179 (24), A250180 (25), A250181 (26), A153440 (27), A250182 (28), A217074 (29), A250183 (30), A217075 (31), A006313 (32), A250184 (33), A250185 (34), A250186 (35), A097475 (36), A217076 (37), A250187 (38), A250188 (39), A250189 (40), A217077 (41), A250190 (42), A217078 (43), A250191 (44), A250192 (45), A250193 (46), A217079 (47), A250194 (48), A250195 (49), A250196 (50), A217080 (53), A260558 (58), A217081 (59), A217082 (61), A260559 (62), A006315 (64), A217083 (67), A217084 (71), A217085 (73), A260560 (74), A217086 (79), A153441 (81), A260561 (82), A217087 (83), A260562 (86), A217088 (89), A260563 (94), A217089 (97), A260564 (106), A260565 (118), A260566 (122), A006316 (128), A260567 (134), A260568 (142), A260569 (146), A260570 (158), A260571 (166), A260572 (178), A260573 (194), A153442 (243), A056994 (256), A056995 (512), A057465 (1024), A057002 (2048), A088361 (4096), A088362 (8192), A226528 (16384), A226529 (32768), A226530 (65536), A251597 (131072), A253854 (262144), A244150 (524288), A243959 (1048576)
- cyclotomic polynomials, values at x = integer (is prime): see also A085398, A117544, A117545, A252503, A066180, A103795, A056993, A153438, A246119, A298206, A246120, A246121, A206418, A205506, A181980
- cyclotomic polynomials: see also polynomials, cyclotomic
cylinder, kings on a: A002493
Czech: see also Index entries for sequences related to number of letters in n
C[n,k]: binomial coefficient n-choose-k (see A007318)
C_n lattice: coordination sequence for: see A010006