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A164487 Number of binary strings of length n with no substrings equal to 0001, 1010, or 1100. 1
1, 2, 4, 8, 13, 20, 30, 44, 64, 93, 135, 196, 285, 415, 605, 883, 1290, 1886, 2759, 4038, 5912, 8658, 12682, 18579, 27221, 39886, 58447, 85649, 125515, 183941, 269568, 395060, 578977, 848520, 1243554, 1822504, 2670996, 3914521, 5736995, 8407960, 12322449 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (3,-3,2,-2,1).

FORMULA

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

CROSSREFS

Sequence in context: A061866 A164476 A164466 * A130840 A115266 A164508

Adjacent sequences:  A164484 A164485 A164486 * A164488 A164489 A164490

KEYWORD

nonn,easy

AUTHOR

R. H. Hardin, Aug 14 2009

EXTENSIONS

Edited by Alois P. Heinz, Oct 27 2017

STATUS

approved

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