|
| |
|
|
A007229
|
|
Number of distinct perforation patterns for deriving (v,b)=(n+2,n) punctured convolutional codes from (4,1).
(Formerly M5267)
|
|
0
|
|
|
|
38, 264, 2016, 15504, 122661, 986700, 8064576, 66756144, 558689224, 4719593312, 40193414112, 344721646640, 2974925353455, 25814778578820, 225105551191680, 1971557711151600, 17336058626562984, 152984380665537760
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
2,1
|
|
|
REFERENCES
|
G. Begin, On the enumeration of perforation patterns for punctured convolutional codes, S\'{e}ries Formelles et Combinatoire Alg\'{e}brique}, 4th colloquium, 15-19 Juin 1992, Montr\'{e}al, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, pp. 1-10.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
|
LINKS
|
Table of n, a(n) for n=2..19.
|
|
|
MAPLE
|
with(numtheory):P:=proc(b, v0) local k: RETURN(add(phi(k)*(1+z^k)^(v0*(b/k)), k=divisors(b))/b): end; seq(coeff(P(b, 4), z, b+2), b=2..40); (Pab Ter)
|
|
|
CROSSREFS
|
Sequence in context: A165068 A160281 A186119 * A204070 A201244 A156661
Adjacent sequences: A007226 A007227 A007228 * A007230 A007231 A007232
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Simon Plouffe
|
|
|
EXTENSIONS
|
More terms from Pab Ter (pabrlos2(AT)yahoo.com), Nov 13 2005
|
|
|
STATUS
|
approved
|
| |
|
|
