13. Find a recurrence relation for the number of ternary strings of length n that do not contain three consecutive 0's. а) аn 3D 2ап-1 + 2am-2 %3D с) а, 3D 2ап-1 + 2аn-2 + 2an-з d) an 3D ап-1 +an-2 + an-3 e) аn %3D Зап-2 + 2аn-з

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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Find a recurrence relation for the number of ternary strings of length ? that do not contain three consecutive 0’s.

13. Find a recurrence relation for the number of ternary strings of length n that do not
contain three consecutive 0's.
а) аn 3 2аn-1 + 2аn-2
b) an 3 Зап-1 + Зап-2
с) an
d) an = an-1+ an-2 + an-3
e) ап — Зап-2 + 2an-з
2аn-1 + 2аn-2 + 2аn-з
Зап-2 + 2ап-з
Transcribed Image Text:13. Find a recurrence relation for the number of ternary strings of length n that do not contain three consecutive 0's. а) аn 3 2аn-1 + 2аn-2 b) an 3 Зап-1 + Зап-2 с) an d) an = an-1+ an-2 + an-3 e) ап — Зап-2 + 2an-з 2аn-1 + 2аn-2 + 2аn-з Зап-2 + 2ап-з
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