login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A164457 Number of binary strings of length n with no substrings equal to 0001, 0011, or 1010. 3
1, 2, 4, 8, 13, 21, 33, 52, 82, 128, 200, 313, 488, 761, 1188, 1852, 2887, 4503, 7020, 10943, 17063, 26601, 41468, 64652, 100792, 157128, 244965, 381898, 595363, 928166, 1446998, 2255827, 3516797, 5482628, 8547285, 13325053, 20773513, 32385456, 50488278 (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 (2,-1,2,-3,1).

FORMULA

G.f.: -(x^7-2*x^6+x^2+1)/((x-1)*(x^4-2*x^3-x+1)). - R. J. Mathar, Jan 19 2011

CROSSREFS

Sequence in context: A164429 A073336 A164420 * A164419 A164480 A134035

Adjacent sequences:  A164454 A164455 A164456 * A164458 A164459 A164460

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 14 2009

EXTENSIONS

Edited by Alois P. Heinz, Oct 12 2017

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 22 11:08 EDT 2021. Contains 343174 sequences. (Running on oeis4.)