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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
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

Table of n, a(n) for n=1..15.

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

Adjacent sequences:  A157791 A157792 A157793 * A157795 A157796 A157797

KEYWORD

nonn

AUTHOR

Gary W. Adamson & Roger L. Bagula, Mar 07 2009

STATUS

approved

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Last modified October 20 10:18 EDT 2019. Contains 328257 sequences. (Running on oeis4.)