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A164495 Number of binary strings of length n with no substrings equal to 0010 0101 or 1011 1
13, 22, 37, 62, 105, 178, 301, 508, 857, 1446, 2441, 4122, 6961, 11754, 19845, 33504, 56565, 95502, 161245, 272246, 459657, 776074, 1310301, 2212276, 3735153, 6306350, 10647505, 17977010, 30351969, 51245554, 86521797, 146081400, 246640477 (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,-1,0,1,0,1).

FORMULA

G.f. -x^4*(13-4*x+6*x^2+10*x^3+5*x^4+8*x^5) / ( -1+2*x-x^2+x^4+x^6 ). - R. J. Mathar, Jan 19 2011

a(4)=13, a(5)=22, a(6)=37, a(7)=62, a(8)=105, a(9)=178, a(n)=2*a(n-1)- a(n-2)+ a(n-4)+a(n-6). - Harvey P. Dale, Mar 07 2015

MATHEMATICA

LinearRecurrence[{2, -1, 0, 1, 0, 1}, {13, 22, 37, 62, 105, 178}, 40] (* Harvey P. Dale, Mar 07 2015 *)

CROSSREFS

Sequence in context: A164435 A164425 A164501 * A164427 A164414 A164456

Adjacent sequences:  A164492 A164493 A164494 * A164496 A164497 A164498

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified April 14 12:11 EDT 2021. Contains 342949 sequences. (Running on oeis4.)