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A164482 Number of binary strings of length n with no substrings equal to 0001, 0110, or 1110. 1
1, 2, 4, 8, 13, 20, 29, 41, 57, 78, 106, 143, 192, 257, 343, 457, 608, 808, 1073, 1424, 1889, 2505, 3321, 4402, 5834, 7731, 10244, 13573, 17983, 23825, 31564, 41816, 55397, 73388, 97221, 128793, 170617, 226022, 299418, 396647, 525448, 696073, 922103, 1221529 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..2500 (terms n=4..500 from R. H. Hardin)

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

FORMULA

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

CROSSREFS

Sequence in context: A056133 A172131 A173721 * A247587 A061866 A164476

Adjacent sequences:  A164479 A164480 A164481 * A164483 A164484 A164485

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 14 2009

EXTENSIONS

Edited by Alois P. Heinz, Oct 19 2018

STATUS

approved

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Last modified November 18 12:12 EST 2018. Contains 317306 sequences. (Running on oeis4.)