CBSPALASS - 2306 - 4580 - BODE - FD23 BLASE 750 * inal - 81720 # 43 5 OF amp; Your friend Zack is counting ducks , there are two types ducks; the...

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CBSPALASS - 2306 - 4580 - BODE - FD23 BLASE 750* inal - 81720# 435 OF &Your friend Zack is counting ducks , there are two types ducks; the left-duck and the right-duck ;Notice that a left-duck can be dissected into four smaller ducks : three right- ducks ( oncerotated ) and one left- duck .A second dissection results in each of these new ducks becoming four smaller ducks in asimilar way .Let In denote the number of left- ducks after ~ such dissections into smaller ducks . That is ,10 = 1, 41 = 1, 12 = 10 ... Find a recurrence relation for In and find 15 .15 =is the rx .