26299
domain: N
Appears in sequences
- a(n+3) = 5*a(n+2) - 2*a(n+1) - 8*a(n), a(0) = 1, a(1) = 0, a(2) = 3.at n=9A110613
- A vector recursion sequence: k = 1; m = 2; l = 1; a(n)=k*{0,a(n-2),0}+m*{-(m-1)/m,a(n-1)}++m*{a(n-1),-(m-1)/m}+l*{0,0,a(n-4),0,0}.at n=48A152654
- A vector recursion sequence: k = 1; m = 2; l = 1; a(n)=k*{0,a(n-2),0}+m*{-(m-1)/m,a(n-1)}++m*{a(n-1),-(m-1)/m}+l*{0,0,a(n-4),0,0}.at n=51A152654
- L.g.f.: Sum_{n>=1} (x^n/n) * Product_{d|n} (1 + n*x^d/d).at n=35A205477
- Equals one maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..1 nX3 array.at n=6A220972
- Equals one maps: number of nX7 binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..1 nX7 array.at n=2A220976
- T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..1 nXk array.at n=38A220977
- T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..1 nXk array.at n=42A220977
- Number of equivalence classes of Dyck paths of semilength n for the consecutive pattern UDUDD, where U=(1,1) and D=(1,-1).at n=20A317639
- a(n) = Sum_{1 <= x_1, x_2, x_3 <= n} ( gcd(x_1, n)/gcd(x_1, x_2, x_3, n) )^2.at n=11A371492
- Numbers k such that A372692(k) = A372692(k+1) > 1.at n=4A372693