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 A118885 Number of binary sequences of length n containing exactly one subsequence 0011. 2
 0, 0, 0, 0, 1, 4, 12, 32, 78, 180, 400, 864, 1827, 3800, 7800, 15840, 31884, 63704, 126480, 249760, 490885, 960828, 1873828, 3642560, 7060314, 13649196, 26324704, 50662464, 97309767, 186571248, 357119472, 682524224, 1302589016, 2482706544 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 COMMENTS Column 1 of A118884. LINKS Table of n, a(n) for n=0..33. Index entries for linear recurrences with constant coefficients, signature (4,-4,0,-2,4,0,0,-1). FORMULA G.f. x^4 / ( (x-1)^2*(x^3+x^2+x-1)^2 ). a(n) -2*a(n-1) + a(n-2) = A073778(n). - R. J. Mathar, Jul 26 2022 EXAMPLE a(5)=4 because we have 00110,00111,00011 and 10011. MAPLE g:=z^4/(1-2*z+z^4)^2: gser:=series(g, z=0, 40): seq(coeff(gser, z, n), n=0..36); CROSSREFS Cf. A118884. Sequence in context: A107035 A260145 A260778 * A097392 A373046 A090634 Adjacent sequences: A118882 A118883 A118884 * A118886 A118887 A118888 KEYWORD nonn AUTHOR Emeric Deutsch, May 03 2006 STATUS approved

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Last modified September 13 18:22 EDT 2024. Contains 375910 sequences. (Running on oeis4.)