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A164488 Number of binary strings of length n with no substrings equal to 0001 1010 or 1101 1
13, 21, 33, 52, 81, 126, 195, 301, 464, 715, 1101, 1695, 2609, 4015, 6178, 9506, 14626, 22503, 34622, 53267, 81952, 126084, 193981, 298440, 459150, 706402, 1086798, 1672036, 2572423, 3957665, 6088855, 9367684, 14412151, 22173046, 34113157 (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,-1,1,-1,0,1,-1)

FORMULA

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

MATHEMATICA

LinearRecurrence[{2, -1, 1, -1, 0, 1, -1}, {13, 21, 33, 52, 81, 126, 195}, 40] (* Harvey P. Dale, Dec 02 2014 *)

CROSSREFS

Sequence in context: A164461 A164499 A164442 * A164436 A164498 A164485

Adjacent sequences:  A164485 A164486 A164487 * A164489 A164490 A164491

KEYWORD

nonn

AUTHOR

R. H. Hardin Aug 14 2009

STATUS

approved

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Last modified May 15 18:26 EDT 2021. Contains 343920 sequences. (Running on oeis4.)