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A157794 a(n) = term (1,1) in M^n * [1,0,0,0,...]; M = parity check matrix for the binary Golay code. 0

%I #3 Apr 05 2012 18:15:23

%S 1,5,40,259,1727,11677,78887,532826,3599266,24313336,164238089,

%T 1109439854,7494345348,50624835011,341974359592

%N a(n) = term (1,1) in M^n * [1,0,0,0,...]; M = parity check matrix for the binary Golay code.

%C a(n)/a(n-1) tends to 6.7550711321...

%D Mathworld, Golay Code

%F a(n) = term (1,1) in M^n * [1,0,0,0,...]; M = parity check matrix for the binary Golay code.

%e M = the 11 by 12 matrix:

%e 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1;

%e 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1;

%e 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0;

%e 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0;

%e 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0;

%e 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1;

%e 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0;

%e 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0;

%e 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1;

%e 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1;

%e 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1;

%e a(3) = 40 = term (1,1) in M^3.

%K nonn

%O 1,2

%A _Gary W. Adamson_ & _Roger L. Bagula_, Mar 07 2009

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)