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 A118425 Number of binary sequences of length n containing exactly one subsequence 001. 2
 0, 0, 0, 1, 4, 12, 30, 68, 144, 291, 568, 1080, 2012, 3688, 6672, 11941, 21180, 37284, 65210, 113420, 196320, 338375, 581040, 994416, 1696824, 2887632, 4902240, 8304073, 14038324, 23688636, 39905238, 67118420, 112726512, 189072363 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS With an additional 0 at the beginning, the convolution of A000071 with itself. Column 1 of A118424. LINKS Table of n, a(n) for n=0..33. Index entries for linear recurrences with constant coefficients, signature (4,-4,-2,4,0,-1). FORMULA G.f.=z^3/(1-2z+z^3)^2. EXAMPLE a(4)=4 because we have 0010, 0011, 0001 and 1001. MAPLE g:=z^3/(1-2*z+z^3)^2: gser:=series(g, z=0, 40): seq(coeff(gser, z, n), n=0..38); CROSSREFS Cf. A000071, A118424. Sequence in context: A032192 A212587 A338223 * A097809 A272144 A036389 Adjacent sequences: A118422 A118423 A118424 * A118426 A118427 A118428 KEYWORD nonn AUTHOR Emeric Deutsch, Apr 27 2006 STATUS approved

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Last modified July 22 12:22 EDT 2024. Contains 374499 sequences. (Running on oeis4.)