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A132297
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Number of distinct Markov type classes of order 2 possible in binary strings of length n.
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4
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4, 7, 12, 18, 26, 35, 46, 58, 72, 87, 104, 122, 142, 163, 186, 210, 236, 263, 292
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OFFSET
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2,1
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COMMENTS
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a(n) = A267529(n) for 2 <= n <= 20. - Georg Fischer, Oct 30 2018
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LINKS
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Table of n, a(n) for n=2..20.
L. R. Varshney and V. K. Goyal, Benefiting from Disorder: Source Coding for Unordered Data, arXiv:0708.2310 [cs.IT], 2007.
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FORMULA
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From Colin Barker, Sep 07 2013: (Start)
Conjectures:
a(n) = (15+(-1)^n-4*n+6*n^2)/8.
a(n) = 2*a(n-1)-2*a(n-3)+a(n-4).
G.f.: -x^2*(2*x^3-2*x^2-x+4) / ((x-1)^3*(x+1)). (End)
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CROSSREFS
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Cf. A132298, A132299, A132300.
Sequence in context: A310792 A178907 A265431 * A007333 A097536 A293829
Adjacent sequences: A132294 A132295 A132296 * A132298 A132299 A132300
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KEYWORD
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nonn,more
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AUTHOR
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Lav R. Varshney (lrv(AT)mit.edu), Aug 17 2007
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STATUS
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approved
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