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9. A computer system considers a string of the digits 0, 1, 2, 3 a valid codeword if it has no two consecutive 1's. For example 01213 is a valid codeword of length 5 while 11320, 1022110, and 211133 are not valid. Let a, be the number of valid codewords of length n. Find a recurrence relation for a, and hence use it to find as.

9. A computer system considers a string of the digits 0, 1, 2, 3 a valid codeword if it has no two consecutive 1's. For example 01213 is a valid codeword of length 5 while 11320, 1022110, and 211133 are not valid. Let a, be the number of valid codewords of length n. Find a recurrence relation for a, and hence use it to find as.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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9. A computer system considers a string of the digits 0, 1, 2, 3 a valid codeword if it has no two consecutive l's. For example 01213 is a valid codeword of length 5 while 11320, 1022110, and 211133 are not valid. Let a, be the number of valid codewords of length n. Find a recurrence relation for a, and hence use it to find as.
Transcribed Image Text:9. A computer system considers a string of the digits 0, 1, 2, 3 a valid codeword if it has no two consecutive l's. For example 01213 is a valid codeword of length 5 while 11320, 1022110, and 211133 are not valid. Let a, be the number of valid codewords of length n. Find a recurrence relation for a, and hence use it to find as.
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