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A164433
Number of binary strings of length n with no substrings equal to 0000 0101 or 0111.
1
13, 21, 34, 54, 84, 131, 205, 318, 492, 764, 1185, 1833, 2838, 4398, 6808, 10535, 16313, 25258, 39092, 60512, 93685, 145021, 224474, 347494, 537932, 832683, 1288965, 1995334, 3088732, 4781236, 7401289, 11457105, 17735278, 27453790, 42498032
OFFSET
4,1
FORMULA
G.f.: -x^4*(-13-8*x-13*x^2+6*x^3+12*x^4+8*x^5) / ( (x-1)*(x^5+2*x^4+2*x^3-1) ). - R. J. Mathar, Jan 19 2011
CROSSREFS
Sequence in context: A164426 A164473 A164481 * A164479 A164497 A164503
KEYWORD
nonn,easy
AUTHOR
R. H. Hardin, Aug 14 2009
STATUS
approved