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A164483
Number of binary strings of length n with no substrings equal to 0001 0111 or 1010.
1
13, 20, 30, 44, 64, 92, 131, 186, 263, 370, 520, 730, 1022, 1430, 2001, 2796, 3905, 5456, 7618, 10632, 14844, 20720, 28911, 40350, 56315, 78574, 109644, 153014, 213498, 297898, 415709, 580048, 809333, 1129356, 1575846, 2198756, 3068088, 4281092
OFFSET
4,1
FORMULA
G.f.: -x^4*(13-6*x+3*x^2-22*x^3+5*x^4+8*x^5) / ( (x^4+2*x^3-1)*(x-1)^2 ). - R. J. Mathar, Jan 19 2011
a(n) = 2*a(n-1)-a(n-2)+2*a(n-3)-3*a(n-4)+a(n-6). - Wesley Ivan Hurt, Apr 23 2021
CROSSREFS
Sequence in context: A058016 A096277 A164475 * A164468 A164489 A164464
KEYWORD
nonn
AUTHOR
R. H. Hardin Aug 14 2009
STATUS
approved