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 A064287 Number of cyclotomic cosets C of 2 mod 2n+1 such that -C is not equal to C, divided by 2. 5

%I

%S 0,0,1,0,0,0,1,0,0,2,1,0,0,0,3,0,2,0,1,0,0,2,1,2,2,0,1,0,0,0,5,0,0,2,

%T 1,4,2,2,1,0,0,4,1,4,4,6,1,0,0,0,1,6,0,0,1,0,2,4,3,0,2,0,9,0,0,4,3,0,

%U 0,2,1,0,4,0,5,4,6,0,1,4,0,4,1,0,0,0,3,0,0,0,1,0,2,8,1,0,6,0,1,0,2,0,3,0,0

%N Number of cyclotomic cosets C of 2 mod 2n+1 such that -C is not equal to C, divided by 2.

%D F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier/North Holland, 1977, pp. 104-105.

%H Ray Chandler, <a href="/A064287/b064287.txt">Table of n, a(n) for n = 1..10000</a>

%e Mod 15 there are 4 cosets: {1, 2, 4, 8}, {3, 6, 12, 9}, {5, 10}, {7, 14, 13, 11}. Only the cosets {1, 2, 4, 8} and {7, 14, 13, 11} have the desired property, so a(7) = 2/2 = 1.

%Y A006694(n) = A064286(n) + 2*a(n).

%K nonn,nice,easy

%O 1,10

%A _N. J. A. Sloane_, Sep 25 2001

%E Extended by _Ray Chandler_, Apr 25 2008

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Last modified May 25 14:51 EDT 2022. Contains 354071 sequences. (Running on oeis4.)