find the number of sequences of length $n$ over $\{0,1,2,3,4\}$ in which the difference between any two consecutive members is $1$ or $-1$
11998
In how many sequences of length $n$, the difference between every 2 adjacent elements is $1$ or $-1$?
142956
Prove that for any positive integer n there is a sequence of n consecutive composite numbers.
123253
Limit of a sequence $a_1=1;a_{n+1}=(n+1)(1+a_n)$
102136
How many subsets contain no consecutive elements?
151466
Series of consecutive numbers (different lengths)
129860
Find a formula for this sequence (and prove it).
139356
How to find the limit of a sequence?
48838
Proving the number of $n$ length binary strings with no consecutive $1's$ $b_n$ is equal to $b_{n-1} + b_{n-2}$
150647
How many $6$-lentgh increasing sequence are there from $1$ to $49$?
83638
Suppose $0,0,1,0,0,1,0,0,1,...$ is a sequence. What is the general term of this sequence?
37012
The number of summands $\phi(n)$
52377
Find the linear recurrence of degree at most 2 for the following sequence
42526
The product of $n$ consecutive integers is divisible by $ n!$ (without using the properties of binomial coefficients)
119891
Divisibility and the Fibonacci sequence
17371
Recurrence relation for number of ternary strings that contain two consecutive zeros
86389
Combinatorial argument to prove the recurrence relation for number of derangements
100232
Find equivalent of recurrent sequence $u_1=1$, $u_{n+1}=1+\frac n {u_n}$