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A230216 Number of binary strings of length n avoiding "squares" (that is, repeated blocks of the form xx) with |x| = 3. 3
1, 2, 4, 8, 16, 32, 56, 104, 192, 352, 648, 1192, 2192, 4032, 7416, 13640, 25088, 46144, 84872, 156104, 287120, 528096, 971320, 1786536, 3285952, 6043808, 11116296, 20446056, 37606160, 69168512, 127220728, 233995400, 430384640, 791600768, 1455980808 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..34.

FORMULA

a(n) = 8*A000073(n) for n >= 3.

EXAMPLE

For n = 6 there are 8 strings omitted, namely 000000, 001001, ..., 111111, so a(6) = 64-8 = 56.

CROSSREFS

Cf. A022087, A229614, A230127, A230177.

Sequence in context: A033860 A231388 A229614 * A245392 A115909 A254940

Adjacent sequences:  A230213 A230214 A230215 * A230217 A230218 A230219

KEYWORD

nonn

AUTHOR

Nathaniel Johnston, Oct 11 2013

STATUS

approved

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Last modified February 21 11:54 EST 2019. Contains 320372 sequences. (Running on oeis4.)