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A164414 Number of binary strings of length n with no substrings equal to 0000, 0001, or 1010. 2
1, 2, 4, 8, 13, 22, 37, 63, 107, 181, 307, 521, 883, 1497, 2539, 4305, 7299, 12377, 20987, 35585, 60339, 102313, 173483, 294161, 498787, 845753, 1434075, 2431649, 4123155, 6991305, 11854603, 20100913, 34083523, 57792729, 97994555, 166161601, 281747059 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..2000 (terms n=4..500 from R. H. Hardin)

Index entries for linear recurrences with constant coefficients, signature (1,0,2).

FORMULA

From R. J. Mathar, Nov 30 2011: (Start)

a(n) = 13*A077949(n-4) + 9*A077949(n-5) + 15*A077949(n-6).

G.f.: (x^6-x^5-x^4-2*x^3-2*x^2-x-1)/(2*x^3+x-1).

(End)

CROSSREFS

Cf. A077949.

Sequence in context: A164437 A164428 A164507 * A164411 A074467 A018066

Adjacent sequences:  A164411 A164412 A164413 * A164415 A164416 A164417

KEYWORD

easy,nonn

AUTHOR

R. H. Hardin, Aug 14 2009

EXTENSIONS

a(0)-a(3) from Alois P. Heinz, Jun 10 2021

STATUS

approved

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Last modified December 6 11:48 EST 2021. Contains 349563 sequences. (Running on oeis4.)