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A007228
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(3/(n+1)) * C(4n,n).
(Formerly M5200)
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3
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3, 6, 28, 165, 1092, 7752, 57684, 444015, 3506100, 28242984, 231180144, 1917334783, 16077354108, 136074334200, 1160946392760, 9973891723635, 86210635955220, 749191930237608, 6541908910355280, 57369142749576660, 505045163173167760, 4461713825057817120
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Perforation patterns for punctured convolutional codes (4,1).
Apparently Begin's paper was presented at a poster session at the conference and was never published.
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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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FORMULA
| a(n)=C(4n,n)/(3n+1)+2*C(4n+1,n)/(3n+2)+3*C(4n+2,n)/(3n+3); - Paul Barry (pbarry(AT)wit.ie), Nov 05 2006
G.f.: g+g^2+g^3 where g = 1+x*g^4 is the g.f. of A002293. - Mark van Hoeij, Nov 11 2011
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CROSSREFS
| Cf. A007226.
Sequence in context: A068808 A068133 A024497 * A096155 A007452 A046981
Adjacent sequences: A007225 A007226 A007227 * A007229 A007230 A007231
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KEYWORD
| nonn
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AUTHOR
| Simon Plouffe (simon.plouffe(AT)gmail.com)
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Feb 07 2004 following a suggestion of Ralf Stephan.
Reedited by N. J. A. Sloane (njas(AT)research.att.com), May 31 2008 following a suggestion of R. J. Mathar
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