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A007227
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Number of distinct perforation patterns for deriving (v,b)=(n+2,n) punctured convolutional codes from (3,1).
(Formerly M4624)
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0
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9, 42, 236, 1287, 7314, 41990, 245256, 1448655, 8649823, 52106040, 316360752, 1933910820, 11893566078, 73537906926, 456864894288, 2850557192175, 17854854154215, 112230508880490, 707714010205020, 4475876883386895
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,1
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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).
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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, 3), z, b+2), b=2..40); (Pab Ter)
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CROSSREFS
| Sequence in context: A180670 A084899 A074443 * A195975 A185918 A116015
Adjacent sequences: A007224 A007225 A007226 * A007228 A007229 A007230
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KEYWORD
| nonn
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AUTHOR
| Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
| More terms from Pab Ter (pabrlos2(AT)yahoo.com), Nov 13 2005
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