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let $a_{n}$ = number of n digit sequence ending in 0<br> $b_{n}$ = number of n digit sequence ending in 1<br> $c_{n}$ = number of n digit sequence ending in 2<br> $d_{n}$ = number of n digit sequence ending in 3<br> $e_{n}$ = number of n digit sequence ending in 4<br> Then $a_{n}$ = $b_{n-1}$<br> $b_{n}$ = $a_{n-1} + c_{n-1}$<br> $c_{n}$ = $b_{n-1} + d_{n-1}$<br> $d_{n}$ = $c_{n-1} + e_{n-1}$<br> $e_{n}$ = $d_{n-1}$<br>
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Sat, 25 Sep 2021 08:08 GMT