|
Search: id:A005862
|
|
|
| A005862 |
|
The coding-theoretic function A(n,14,10).
(Formerly M0222)
|
|
+0
1
|
|
| 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4, 4, 5, 6, 8, 9, 11
(list; graph; listen)
|
|
|
OFFSET
|
10,8
|
|
|
COMMENT
|
The g.f. -(z+1)*(z**6+z**5-z**3-z-1)/(1+z-z**2-z**5+z**7-z**3-z**4) conjectured by S. Plouffe in his 1992 dissertation is wrong.
|
|
REFERENCES
|
A. E. Brouwer, J. B. Shearer, N. J. A. Sloane and W. D. Smith, New table of constant weight codes, IEEE Trans. Info. Theory 36 (1990), 1334-1380.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
LINKS
|
S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
E. M. Rains and N. J. A. Sloane, A(n,d,w) tables
Index entries for sequences related to A(n,d,w)
|
|
CROSSREFS
|
Sequence in context: A036054 A029102 A029081 this_sequence A046052 A029115 A029101
Adjacent sequences: A005859 A005860 A005861 this_sequence A005863 A005864 A005865
|
|
KEYWORD
|
nonn,hard
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
EXTENSIONS
|
An incorrect g.f. was deleted by N. J. A. Sloane, Sep 13 2009
|
|
|
Search completed in 0.002 seconds
|
