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A164468 Number of binary strings of length n with no substrings equal to 0001, 0100, or 1110. 1
13, 20, 30, 45, 67, 99, 146, 215, 316, 464, 681, 999, 1465, 2148, 3149, 4616, 6766, 9917, 14535, 21303, 31222, 45759, 67064, 98288, 144049, 211115, 309405, 453456, 664573, 973980, 1427438, 2092013, 3065995, 4493435, 6585450, 9651447, 14144884 (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).

FORMULA

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

a(n) = a(n-1) + a(n-3) + 2 for n>6. - Greg Dresden, Feb 09 2020

CROSSREFS

Sequence in context: A096277 A164475 A164483 * A164489 A164464 A164467

Adjacent sequences:  A164465 A164466 A164467 * A164469 A164470 A164471

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 14 2009

STATUS

approved

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Last modified June 19 15:42 EDT 2021. Contains 345142 sequences. (Running on oeis4.)