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A065506 Number of (binary) bit strings of length n having an even length block of 0's followed by an odd length block of 1's. 0
1, 2, 7, 15, 39, 84, 196, 419, 928, 1965, 4227, 8871, 18742, 39032, 81481, 168606, 349011, 718371, 1477783, 3028412, 6200296, 12660171, 25823604, 52569417, 106908199, 217086287, 440402878, 892384788, 1806730377, 3654428154 (list; graph; refs; listen; history; internal format)
OFFSET

3,2

LINKS

Index to sequences with linear recurrences with constant coefficients, signature (2,3,-5,-2).

FORMULA

O.g.f.: x^3/[(1-2x)(1-3x^2-x^3)

CROSSREFS

A065455(n) = 2^n - a(n)

Sequence in context: A131412 A151998 A052130 * A121165 A093652 A200862

Adjacent sequences:  A065503 A065504 A065505 * A065507 A065508 A065509

KEYWORD

nonn

AUTHOR

Len Smiley (smiley(AT)math.uaa.alaska.edu), Nov 26 2001

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Last modified February 15 09:15 EST 2012. Contains 205753 sequences.