How many sequences of $n$ tosses of a coin that do not contain two consecutive heads have $H$ as the first toss and $T$ as the second?
158925
How many sequences of $n$ tosses of a coin that do not contain two consecutive heads have tails as the first toss?
129536
Asymptotic behaviour of sums of consecutive powers
74829
Number of non decreasing sequences of length $M$
47799
Show that the number or $r$ combinations of $X$ which contain no consecutive integers is given by $\binom{n-r+1}{r}$
148009
Mathematical Olympiad Treasures Problem 1.92 how does this relate to geometric sequence
7845
What are the odd of a single coin toss after many consecutive ones?
8817
Closed form recurrence formula for getting N consecutive heads on a coin
148413
Proving $S_n$ is generated by the set $\{(1\text{ }2),(2\text{ }3),\cdots,(n-1\text{ }n)\}$ of $n-1$ transpositions.
16025
Havel & Hakimi degree sequence theory
121605
A coin tossing game which leads to a contradiction
48119
Probability of finding a particular sequence of base pairs
34452
In how many ways can you choose $k$ numbers out of $\{1,2,3,\dots,n\}$ so none of them is consecutive?
24091
How many ways can $r$ nonconsecutive integers be chosen from the first $n$ integers?
37012
The number of summands $\phi(n)$
52377
Find the linear recurrence of degree at most 2 for the following sequence
145255
Fibonacci, tribonacci and other similar sequences
11998
In how many sequences of length $n$, the difference between every 2 adjacent elements is $1$ or $-1$?