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A296600
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Number of pairs of binary strings (u,v) with u of length n, v of length 2n, and u and v mutually overlapping.
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1
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2, 26, 244, 2070, 17100, 138684, 1117200, 8966634, 71848980, 575237140, 4603664560, 36836229636, 294717238960
(list;
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history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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We say the pair (u,v) is mutually overlapping if some nonempty prefix of u is a suffix of v, and vice versa. For n = 3, an example is (011,110110). If C(m,n) is the number of mutually overlapping ordered pairs (u,v) with |u|=m and |v|=n, then C(m,2m+a) = 2^a C(m,2m) for a >= 0, so the case enumerated by this sequence is in some sense the most useful to understand.
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LINKS
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Table of n, a(n) for n=1..13.
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CROSSREFS
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Cf. A295863.
Sequence in context: A280556 A198960 A289263 * A187252 A096233 A126673
Adjacent sequences: A296597 A296598 A296599 * A296601 A296602 A296603
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KEYWORD
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nonn,more
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AUTHOR
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Jeffrey Shallit, Feb 15 2018
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EXTENSIONS
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a(9)-a(13) from Lars Blomberg, Nov 30 2018
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STATUS
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approved
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