A164454 Number of binary strings of length n with no substrings equal to 0001 0011 or 0101.

13, 21, 34, 52, 79, 120, 179, 266, 395, 583, 859, 1265, 1859, 2730, 4008, 5880, 8624, 12647, 18542, 27182, 39846, 58405, 85605, 125470, 183894, 269519, 395010, 578925, 848466, 1243499, 1822447, 2670937, 3914461, 5736933, 8407896, 12322384

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,-1,2,-3,1,-1,1).

Formula

G.f.: -x^4*(13-5*x+5*x^2-21*x^3+6*x^4-4*x^5+8*x^6) / ( (1+x+x^2)*(x^3+x-1)*(x-1)^2 ). - R. J. Mathar, Jan 19 2011

Crossrefs

Sequence in context: A164485 A164447 A057200 * A164426 A164473 A164481

Adjacent sequences: A164451 A164452 A164453 * A164455 A164456 A164457

Keyword

nonn,easy

Author

R. H. Hardin, Aug 14 2009

Status

approved