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A164447 Number of binary strings of length n with no substrings equal to 0001 0010 or 0110 1
13, 21, 33, 54, 88, 144, 233, 377, 609, 986, 1596, 2584, 4181, 6765, 10945, 17710, 28656, 46368, 75025, 121393, 196417, 317810, 514228, 832040, 1346269, 2178309, 3524577, 5702886, 9227464, 14930352, 24157817, 39088169, 63245985, 102334154 (list; graph; refs; listen; history; text; internal format)
OFFSET

4,1

LINKS

R. H. Hardin, Table of n, a(n) for n=4..500

Index entries for linear recurrences with constant coefficients, signature (2,0,-2,2,0,-1).

FORMULA

G.f. -x^4*(-13+5*x+9*x^2-14*x^3+4*x^4+8*x^5) / ( (x-1)*(1+x)*(x^2-x+1)*(x^2+x-1) ). - R. J. Mathar, Jan 19 2011

CROSSREFS

Sequence in context: A164436 A164498 A164485 * A057200 A164454 A164426

Adjacent sequences:  A164444 A164445 A164446 * A164448 A164449 A164450

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified October 26 02:14 EDT 2021. Contains 348256 sequences. (Running on oeis4.)