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Search: id:A007225
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| A007225 |
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Number of distinct perforation patterns for deriving (v,b)=(n+4,n) punctured convolutional codes from (2,1).
(Formerly M2023)
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+0
1
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| 2, 12, 52, 232, 952, 3888, 15504, 61333, 240350, 937508, 3641820, 14112560, 54587280, 210907168, 814278240, 3142611402, 12126758436, 46796872472, 180619420520, 697320058864, 2693097842512, 10405151052320, 40219629005920
(list; graph; listen)
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OFFSET
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5,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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.
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MAPLE
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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, 2), z, b+4), b=5..40); (Pab Ter)
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CROSSREFS
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Sequence in context: A057547 A043007 A080675 this_sequence A139046 A036359 A055703
Adjacent sequences: A007222 A007223 A007224 this_sequence A007226 A007227 A007228
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KEYWORD
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nonn
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AUTHOR
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Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
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More terms from Pab Ter (pabrlos2(AT)yahoo.com), Nov 13 2005
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