A164490 - OEIS

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A164490

Number of binary strings of length n with no substrings equal to 0010 0011 or 0110

13, 21, 32, 50, 76, 117, 177, 270, 408, 620, 937, 1421, 2148, 3254, 4920, 7449, 11265, 17050, 25788, 39024, 59029, 89317, 135112, 204426, 309252, 467885, 707825, 1070886, 1620080, 2451028, 3708049, 5609885, 8486988, 12839854, 19425008 (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 (2,0,-2,2,-1)`
	FORMULA	`G.f. -x^4(-13+5x+10x^2-12x^3+8x^4) / ( (x-1)(x^4-x^3+x^2+x-1) ). - R. J. Mathar, Jan 19 2011`
	CROSSREFS	`Sequence in context: A164452 A164444 A164438 * A164460 A164448 A164424` `Adjacent sequences: A164487 A164488 A164489 * A164491 A164492 A164493`
	KEYWORD	`nonn`
	AUTHOR	`R. H. Hardin Aug 14 2009`
	STATUS	`approved`

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Last modified November 27 05:12 EST 2022. Contains 358362 sequences. (Running on oeis4.)