login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A157794 a(n) = term (1,1) in M^n * [1,0,0,0,...]; M = parity check matrix for the binary Golay code. 0
1, 5, 40, 259, 1727, 11677, 78887, 532826, 3599266, 24313336, 164238089, 1109439854, 7494345348, 50624835011, 341974359592 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
a(n)/a(n-1) tends to 6.7550711321...
REFERENCES
Mathworld, Golay Code
LINKS
FORMULA
a(n) = term (1,1) in M^n * [1,0,0,0,...]; M = parity check matrix for the binary Golay code.
EXAMPLE
M = the 11 by 12 matrix:
1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1;
1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1;
1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0;
1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0;
1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0;
1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1;
1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0;
1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0;
1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1;
1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1;
0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1;
a(3) = 40 = term (1,1) in M^3.
CROSSREFS
Sequence in context: A269822 A043019 A054604 * A001656 A087632 A229279
KEYWORD
nonn
AUTHOR
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 04:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)